What is the sum of the first 80 terms of the series 10 +7+4+...

Q: Find the sum of the infinite series, Σ 15 11 7 п-3 | 15n n=5 3n-2 11

A: Solution :-

Q: Find the sum of the series: n=0 (-1)"64"-2 n!

A: The given series is                                     ∑n=0∞-1n64n-2n! We know that    ex=∑n=0∞xnn!

Q: 10 n(n +2) n=1

A: We have to find the sum

Q: Evaluate the infinite geometric series. 4 – 2+1-+.. 0 3 2/3 O 8/3 O no sum

A: Given, the infinite geometric series,4 - 2 + 1 - 12 + ................................∞a = 4, r =…

Q: Find the Sum of the series 2/3 , 4/9, 8/27 .......to infinity

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Q: Vhat is the sum of the series En=0 А. 2 В. -2 N/3 C.

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Q: a. Find the common difference and number of terms in the series 3.5+10+...+647 and hence find the…

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Q: What is the sum of the first 19 terms of the series 2 - 5 + 12.5 - 31.25 + ..

A: Given series is2-5+12.5-31.25+.... The sum of the first 19 terms of the series is determined as…

Q: Find 21st term of series 13,16,19

A: Given problem:- Find 21st term of series 13,16,19

Q: 2 Find the sum of the first 20 terms of the arithmetic series 6 + 3 +0 – 3 – 6 – ..

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Q: 1. What's an infinite series that can "sum" to 1?

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Q: Find the sum of n terms of the series 1.24 +2.3 +3.4 +..

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Q: What is the sum of the finite series 19 Ë n=1 10n²+ 3n²2² 3 Give your answer exactly as an integer…

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Q: Find the sum of the first 35 terms of the series 6 + 11 + 16 + 21 +

A: Sum of the n terms of AP: S = n/2 (2a +(n-1)d) Here a = 6 , d = 5 , n = 35

Q: Calculate the sum of the infinite series S••=5-3+9/5-… •• means infinity symbol

A: Sum of infinite geometrical series with first term a and common ratio r is given as S = a/(1-r)

Q: 9) Use your answer to the previous problem to evaluate the infinite series D ()". 100

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Q: Find the 30th term of the series 4,5,9,14, ...

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Q: Find the Sum of the series 1, 2/3, 4/9 , 8/27....to infinity

A: The given question is geometric sequence since there is common ratio between terms. The general…

Q: Find the sum of the series.

A: The series starts from the term n = 4 , since all the terms of the series are positive.

Q: Find the 12th term in the series 6,3,2

A: Given series 6,3,2,... The main objective is to find the 12th term in the series.

Q: 8, If the third term in the geometric series 2 ar" is 4, then the product of the first five terms n…

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Q: Find the sum of the first 20 terms of the series 3+13+23

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Q: Find 21st term of series  12,16,18

A: n=21 tn=a+n-1d a=12, d=4 t21=12+204 t21=12+80

Q: Find 51 term of series 4,8,12,16..

A: The given sequence is 4,8,12,16... To find 51th term

Q: 5. The sum of the first 12 terms of an arithmetic series is 186, and the 20th term is 83. What is…

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Q: What is the sum of the series 00 10 21 21 11 -7)

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Q: Example 4. How many terms of the series 1, 6, 11, sum is 148, be taken so that their

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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 n terms for the geometric series. 3-6+12-24., n=D6

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Q: 10 -4)(-2)*-:

A: We have to find sum

Q: 3-3(슈) + 3 (솎)2 - 3 (슈):…

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Q: Write the given series in 3-+- 3 +. 4 8

A: Given series forms infinite term of geometrical series

Q: What is the sum of the first 12 terms in the series shown beloW! 1.5 4.5 + 13.5 -40.5 +

A: Given sequence is: 1.5-4.5+13.5-40.5+...upto 12 termsTo find the sum of first 12 terms  The formula…

Q: Find the sum of the series from n=2 to ♾ of.  6/(n^2+4n+3)

A: The given series is: ∑n=2∞ 6n2+4n+3

Q: Find the sum of the series. 9n n-1

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Q: What is the sum of the first 14 terms of the series 9+2-5-12-19-...? O-25 O-98 O-511 O-518

A: The given series is 9+2-5-12-19-... This is arithmetic series, such that First term a=9 Common…

Q: Write the sum of three terms of the series: 2-n 2"

A: We have to write sum of the three terms of the series ∑n=0∞2n

Q: Write the first five terms of the power series 7 (-1)"(x– 2)" n =1 5"

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Q: find the sum of the series

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Q: 1. Find the sum for the first 30th terms of the following series 2.4+4 6+6-8+.

A: Given the series is

Q: number

A: In the given question, the concept of series is applied. Series A series is created by a sequence,…

Q: Compute the sum of the infinite series 32 15 15 16 16 12 O None of the others

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Q: 1. Find the sum for the first 30th terms of the following series 2.4+4·6+6 · 8+ · · .

A: We will use basic knowledge of series and summations to solve this question.

Q: Find the sum of the first 7 terms of the geometric series. 4, 12, 36, 108,.. 324 160 1093 4372

A: Given : The geometric series 4, 12, 36, 108, ...   To find the sum of the first 7 terms of the…

Q: Find the sum of the series: n=0 2-1 (-1)"64"- n!

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Q: The sum of the series n-n+1 n! is

A: Solution : To find, ∑n=0∞n2-n+1n! Taylor expansion of ex around 0 ex=∑n=0∞xnn! put x=1; e=∑n=0∞1n!

Q: What is the general expression for the ?th term of the series -4/3+9/5-16/7+25/9-36/11

A: The given series:-43+95-167+259-3611+...We need write the general expression for the nth term of the…

Q: Find the sum of the series Σ /n+4 n = 1

A: First operate the given sum on both terms and then calculate the sum.

Q: How many terms are there in a series -64 -32 -16 -....-1÷32

A: Topic:- sequence and series