What is the eighth term of the arithmetic sequence? 8 -7 -6 -5 tn +4 -3 -2 -2 -3 4 -6 -7 -8

Q: Find 65th term of the arithmetic sequence with first term 5 and common difference -1/2

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Q: 5. What is meant by the index of a term of a sequence?

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Q: create a sequence with five terms based on the given information.  An arithmetic sequence with a…

A: Given that the third term of the arithmetic sequence is 8 and the common difference is 5.That is a3…

Q: 1. The first term of an arithmetic sequence is 5. The eleventh term is 125. What is the common…

A: GivenFirst term of arithmetic sequence 'a' = 5Eleventh term of arithemetic sequece 'T_11' = 125

Q: A geometric sequence whose first term = 2 and whose sixth term = 64, i) find the first six terms ii)…

A: The nth term of a geometric progression or a geometric sequence with first term and common ratio r…

Q: Consider the arithmetic sequence with the first term ai = 300 and common difference d=-90. What are…

A: In an arithmetic sequence the terms can be obtained by adding the common difference to the previous…

Q: The second and seventh terms of a geometric sequence are 15 and 46875 respectively. Which term of…

A: Topic =Series

Q: What is the common difference of the arithmetic sequence 5,8, 11, 14? 1) 2) -3 3) 3 4) 9

A: Given arithmetic sequence is 5,8,11,14 find the common difference of arithmetic sequence  d=an-an-1…

Q: The nth term in a sequence is an. How can you represent the next three terms in the sequence?

A: Given, A sequence with, n th term= an

Q: Find the sum of the first 12 terms of the geometric sequence 3, -9, 27, -81, 243, ..

A: Geometric sequence 3,-9, 27,-81, 243.... To find :- Sum of first 12 terms of given sequence

Q: 2. The third term of an arithmetic sequence is x and a, = 19x + 6. Find the twelfth term. 3. Php…

A: given

Q: The eight term of an arithmetic sequence is 216 and the seventeenth term is 369. Find the following…

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Q: 3. In an arithmetic sequence if 5th term value is 26 and 10th term value is 51. Find 15th term…

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Q: What is the 5th term of the geometric sequence 3/20, 3/2, 15, …? Show your solution.

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Q: 3. Evaluate to find the sum of the first 7 terms in the arithmetic sequence. 8, 2, -4, ...- 28

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Q: How many terms of the arithmetic sequence {2,4,6,8,...}will give a sum of 600?

A: The given arithmetic sequence is {2,4,6,8,.....} an the sum is 600 We know,

Q: What is the common difference of the arithmetic sequence 5, 8, 11, 14? 8 1) Š 2) -3 3) 3 4) 9

A: Introduction: An arithmetic sequence is the foremost sequence in mathematics. The terms follow a…

Q: Find the seventh term and the sum of the first seven terms of the geometric sequence 6, −3,32, −34,…

A: Given: A geometric sequence is given.6, -3, 32, -34, ... To Find: The seventh term and the sum of…

Q: 4. The fifth term of an arithmetic sequence is 11 and the tenth term is 41. What is the first term?…

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Q: Which term of the geometric sequence 6, 18, 54, … is 118098

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Q: Find the 83rd term of the arithmetic sequence with 1st term 6 and common difference −1/2

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Q: What is the formula for this sequence and what is the nth-term of the sequence?…

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Q: What is the 103rd term of the sequence -32, -16, 0, 16, ...? O 1,600 O 1,632 O -1, 664 84,048

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Q: What is the first term of a geometric sequence which fourth term is -40 and with common ratio of -2?

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Q: The first three terms of an arithmetic sequence are 7, 10.5, 14. a. What is the 31st term of the…

A: We have to find: a 31st term of the sequence b sum of first 31 terms of the sequence Where three…

Q: The first three terms of an arithmetic sequence are 7, 10.5, 14. A) What is the 31st term of the…

A: The terms of the AP are, a1=7a2=10.5a3=14   The common difference is, d=a2-a1=10.5-7=3.5   Thus, the…

Q: What is the 6th term of the sequence 8, 32, 128, 512, ...? Solving a Sequence or Series? Arithmetic…

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Q: What are the next three terms of the arithmetic sequence −14,−9,−4,1,...?

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Q: Which arithmetic sequence has a first term equal to 47 and a common difference of -18?

A: To find the arithmetic sequence

Q: 4. The 1st term of an arithmetic sequence is -168 and every term after the first is 8 more than term…

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Q: Find the 12th term of the arithmetic sequence 9,7, 5, .. Answer: Find the first term and the common…

A: We have to find the 12th term and first term and common difference of the given sequence.

Q: How many terms of the arithmetic sequence 20, 18, 16.... must be added so that the sum will be -100?

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Q: Find the 35th term in the arithmetic sequence: 3, 9, 15, 21, ?

A: Formula Used: nth term of the arithmetic series Tn =a+(n-1)d where a is the first term d is the…

Q: Which term of the arithmetic sequence 1, 6, 11, 16, ... is 101? It is the th term.

A: The objective is to find which term of the arithmetic sequence is 101.

Q: {3, 6, 12, 24, 48, 96, 192 } How do I find the explicit formula for this sequence?

A: Given sequence is 3,6,12,24,48,96,192 To find the explicit formula. Solution: Here, we have a1=3…

Q: Find the sum of the first 14 terms of the geometric sequence shown below. 2, 6, 18, 54,... ***** The…

A: Given, Geometric sequence 2, 6, 18, 54 .... The objective is to find the sum of the first 14 terms.…

Q: Find the 30th term of the arithmetic sequence negative-4, negative-1, 2, 5, 8, …

A: We have to find

Q: Find the sum of the first 14 terms of the geometric sequence shown below. 2, 6, 18, 54, .. The sum…

A: Given that :  2 , 6,18,54,..... By using geometric sequence...  r = difference ratio.  a = first…

Q: The 9th term of an arithmetic sequence is 19 and the 20th term is 20.3 What are the first three…

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Q: How many terms must be taken from the sequence (-16, 14, 12, ...) starting from the first term so…

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Q: Find the 70th term of the arithmetic sequence 18, 34, 50,

A: Given,           The arithmetic sequence is 18, 34, 50.....and so on.

Q: What is the 11th term of the geometric sequence −1.5,−3,−6,−12,…?

A: Given series ,-1.5 , -3 , -6 , -12 ,---first term , a1=-1.5Common ratio , r=-3-1.5=2

Q: An arithmetic sequence has a first term of 0 and a 9th term of 12. Which term number corresponds to…

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Q: Consider the arithmetic sequence {33, 44, 55, 66, …}. What is the 15th term in this sequence?

A: The nth term of an arithmetic sequence is given by an=a+n-1d . Here a=33, n=15, d=44-33=11

Q: Find the number of terms in the geometric sequence. 16,8,4,2,..........,1/16

A: The given sequence is 16, 8, 4, 2, …,1/16.Here, the common ratio is 8/16 = 1/2.From the given…

Q: Find the 52nd term of the arithmetic sequence -8, -12, -16, ?

A: a52= -212

Q: 1. Find the 25th term of the arithmetic sequence -7,-4, -1, 2, ..

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Q: term in a geometric sequence whose 3rd term is 5/4 and 6th term is 10?

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Q: 12) Find the n-th term of the Sequence 12,8,4,0,-4,-8,..

A: nth term of the arithmetic sequence :  an =a+(n-1)d , where , a-first term and 'd' is common…

Q: Find the sum of the first 77 terms of the arithmetic sequence.   37​,38​,39​,40​,... What is the sum…

A: Given : 37​,38​, 39, 40…

Sequence and Series

A sequence is defined as a collection of things. Series is defined to sum the things one by one in the sequence.  It was invented by German mathematician Carl Friedrich Gauss.