Find the sum of the first 10 terms of an arithmetic series defined by: 3, -1, -5... O -150 -205 O -6 O -33

Q: Find the 1st three terms of the arithmetic series where a1=2, an=-25, Sn=-115.

A: Recall: Sn=na1+an2 an=a1+(n-1)d

Q: Evaluate the geometric series or state that it diverges.

A: Common ratio= r= -0.15  So, |r|=|-0.15|=0.15 < 1 So this series will converge

Q: Find the sum of the first 10 terms of an arithmetic series defined by: 3, -1, -5 ... O -6 О-205 -33…

A: Sum of n term of an arithmetic series is Sn=n22a+(n-1)d Where, a is the first term of the series, ad…

Q: Find the sum of the terms of a series 2n-1 2"

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Q: Find the sum of the arithmetic series where n = 60, a = 9, and t60 = 422. O 12000 O 12600 O 11400 O…

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Q: Find the sum of a geometric series with the given information. a1 = 32 , n = 8 , r = 1/2

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Q: What is the sum of a series? That is, what is meant by > An = S? n=1

A: In the given series If n=1, the corresponding term is a1 If n=2, the corresponding term is a2 . . .…

Q: Use the formula for the sum of the first n terms of an arithmetic series to find the sum. 13 + 8 + 2…

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Q: Find the sum of the infinite geometric series, if it exists. 7 a1 = -3, r = 10 S =

A: Explanation of the answer is as follows

Q: Find the sum of the geometric series 00 26. (0.9)" 1 71-1

A: The given geometric series, ∑n=1∞6.(0.9)n-1

Q: Find the sum of the infinite geometric series: 2 - 1 + 1/2 - 1/4 + ..........

A: Given geometric series ,               2-1+12-14----

Q: Find the sum of the arithmetic series with 14+23+32+41..., n=7 582 584 O 1168 287

A: Given query is to find the sum of the sequence.

Q: Find the sum of the first 50 terms of the series that begins: 4 +9+14+19+... > 0:00 / 0:09 1325 6450…

A: ap series problem......

Q: an=?

A: Given:

Q: Find the sum of the first nine terms of the geometric series 8, -24, 72... A.)-19,6893 B.)19,691…

A: We have to find the sum of nine terms of geometric series 8,-24,72..... We know that if…

Q: What is the sum of the following infinite geometric series? 0.2+0.02+0.002+ ... A 2 -/- -1/- /5

A: SOLUTION-

Q: 5(3)-1 n-1

A: Given that a series and we find sum of this geometric series. Here i attached solution of this…

Q: Find the sum of the first 7 terms for the geometric series: +1+3+9+..

A: The sum of a geometric series having n terms, with first term a and common ratio r, is given by:…

Q: Determine the sum, if it exists, of the series. 10 4 h-1 3 9 h=1

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Q: Find the sum of the geometric series 26. (0.9)"-1

A: Given,             ∑n=1∞6·0.9n-1

Q: Find the infinite sum, if it exists for this series: -3 + (0.6) +(- 0.12) + · ·.. |

A: We have to solve As per guideline we have to solve

Q: Σ, 6 what is the value of the series

A: Sum of the infinite terms of geometric series whose first term is  'a' and common ratio is 'r' is…

Q: Calculate the sum, to 4 decimal points, of the first 10 terms of the series whose terms are 1, 0.5…

A: we have given that      the series whose terms are1, 0.5, 0.25, .....we have to find sum, to 4…

Q: Find the sum of the infinite geometric series 1, 5, Ā 2 4

A:

Q: Find the sum of the first 10 terms of an arithmetic series defined by: 3, -1, -5 ... O -6 O -150 O…

A: Given series is3, -1, -5,......the series is in Arithmetic progression.so, common difference d =…

Q: Find the sum of the first 100 terms of the series given. 3+8+13+ 18 +....

A: Arithmetic Progression is sequence of numbers where any two consecutive number difference is same.…

Q: Find the sum of the infinite geometric series if it exists.

A: We have to find the sum of infinite geometric series: 2-2+8-4+.... We know that if we have infinite…

Q: Find the sum of the first 100 terms of the series given. 3+8+13 + 18+..

A: Arithmetic Progression is sequence of numbers where any two consecutive number difference is same.…

Q: Evaluate the geometric series or state that it diverges.

A: Solution is below

Q: Find the infinite sum, if it exists for this series: - 2+ (0.4) +(- 0.08) + · ....

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Q: Find the sum of the first 6 terms of the given geometric series: -2-4-8-16.. O -146 -139 O 2 O -126

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Q: find the sum of the first 25 terms of an arithmetic series if t12=-26 and t22=-46

A: We need to find the sum of first 25 terms of an Arithmetic series. We have t12=-26   and   t22=-46

Q: 3. Determine the sum of the first ten terms of the geometric series: -2+4-8+...

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Q: Find the sum of the first 26 terms of an arithmetic series if the first term is -7 and d = 3.

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Q: Find the sum of the finite geometric series by using the formula for Sn 16 32

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Q: Find the sum of the geometric series. 1)" n-1 2.5 5 15 25

A: Sum of the finite geometric series :                  ∑n= 1k arn-1 = a(1-rk)1-r ; where, a-first…

Q: Find the sum of the first 10 terms of the geometric series: a1 = 1, r = 2, n = 10

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Q: Find the sum of the infinite series, if it exists 1, 2, 4, 8,.. 16

A: The sum of an infinite geometric series (GP) is given by , where a is the first term of the series…

Q: Find the sum of the first 7 terms of the following series, to the nearest integer. 6, 12/5, 24/25,

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Q: Find the sum of the series: n!

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Q: find the sum of 12 terms of the given series -114,-109,-104..... to 12 terms

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Q: if it exists, Find the sum of the infinite geometric series 1 - 1/3 + 1/9 - . . .

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Q: Find a, and d for the arithmetic series. = - 108, a12 S12 = -15 a, = (Type an integer or a…

A: Consider an arithmetic series with first term as a1, and difference d. The nthterm is given by:…

Q: Find the sum of the first 10 terms of the following series, to the nearest integer. 2, 8, 32,....

A: Find the sum of the first 10 terms of the following series, to the nearest integer. 2, 8, 32,....

Q: Find the sum of the first 6 terms of the geometric series if a1= 1 and r = 2. 36 63 O -63

A: Given problem is :

Q: Find the sum of the first 10 terms of the following series, to the nearest integer. 2,8, 32, ...

A: 2,8,32 .....Here a1=2a2=8a3=32First Find a2a1=82=4and a3a2=328=4We observe that ratio ofa2a1=a3a2=4

Q: Find the sum of the geometric series. (3 Σ 4 n = 1

A: