Let bo, b,, b2, ... be the sequence defined by the explicit formula b, = c. 6" + D(-5)^ for each integer n 2 0, where C and D are real numbers. (a) Find C and D so that b, = 0 and b, = 11. C = D = What is b, in this case? b2 = (b) Find C and D so that b, = 4 and b, = 13. C = D = What is b, in this case? b2

Q: Find the explicit formula for this polynomial sequence: 3, 24, 79, 180, 339, 568, 879, ..

A: Disclaimer: Since you have asked multiple questions, we will solve the first question for you. If…

Q: For the sequence 1, 4, 7, 10, .. . its nth term is

A:

Q: Find two different explicit formulas for the sequence {1, -2, 3, -4, -5, ⋅ ⋅ ⋅}.

A:

Q: 5n +(-1)" is a monotonic sequence 3n O True O False

A: A sequence is said to be monotonic if it is always increasing or decreasing.

Q: Find the sum of the first 15 terms of the arithmeticsequence with first term -4 and common…

A: Consider the given information as a=-4 and d=2

Q: + 3 + sŹ + 8 t..,, to 50 TERMS

A:

Q: find formulla for the sequence"3/6,8/25,15/62,24/123,35/214" -

A: Given sequence

Q: Find the missing values. Assume the parentheses separated terms in the corresponding arithmetic…

A: Given: Terms are in arithmetic sequence  we know that difference between any two consecutive terms…

Q: Find an  for the sequence 1/1 -22/2x1 +33/3x2x1 - 44/4x3x2x1, +...

A:

Q: Let (a,) be the sequence defined by a¡ = 5 and a, = 2a,-1 – 3 when n > 2. What is a4?

A: Here an be the given sequence which is defined by a1=5 and an=2an-1-3 when n≥2 . We have to find a4…

Q: Calculate the first 5 terms of the sequence an = Factions and as decimals to 3dp. (1+)", expressing…

A:

Q: Which of the following is the value of x to make x + 1, 4x – 7, 2x + 5,… an arithmetic sequence.

A: We will find the value of x for which the given sequence will be  an arithmetic sequence as…

Q: Write an explicit formula for the sequence: 6 - 1' 7- T 8 9 - x 10 - * 7' 12 + 1' 18 + 12' 24 + ' 30…

A:

Q: What is the next term for the sequence 1, 5, 11, 17, 33, 61, ...

A: The pattern in a sequence of numbers determines the next number in the pattern. The pattern is…

Q: Write the first three terms of the sequence defined by a₁ = 2, 2a +3 an +2 an +1 =

A: Given,  The sequence is defined by  an+1=[(2an+3)/(an+2)]  and a1=2 . To find first three term of…

Q: What is the 100th term of a sequence of number in which, for every positive integer x, the sum of…

A: In the given question, concept of summation series is used. Summation Series The total of the series…

Q: For the sequence 1,7,25,79,241,727dots simple formula for {an} is

A:

Q: Sqq2DoRYrVZFLCTHhNWnXGY9g9uiznv27csfkWVKpS7A/viewform F.6 Write an equation for the nth term of the…

A:

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.