Find the sum of the first 15 terms of the geometricsequence with first term 3 and common ratio 2.

Q: Find the sum of the finite arithmetic sequence. Sum of the first 130 positive odd integers

A: We know that the sum of n numbers in an arithmetic progression (A.P.) is: Sn=n2a+l where a is the…

Q: The sum of an infinite geometric series is 5. If the first term is 4, what is the value of the…

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Q: Find the sum of the finite arithmetic sequence. Sum of the first 80 positive odd integers

A: Find the sum of the finite arithmetic sequence. Sum of the first 80 positive odd integers.

Q: Find the sum of the first 20 terms of the arithmeticsequence 5, 12, 19, .....

A: We have to find sum of first 20 terms of the arithmetic sequence: 5, 12, 19, ....... We know the…

Q: Find the sum of the first 6 terms of the geometricsequence 9, 3, 1, .....

A: The geometric sequence is of the form a,ar,ar2,ar3,...,arn. This shows that r as a common ratio…

Q: Find the sum of the first 12 terms of the geometricsequence with first term 48 and common ratio1/2.

A: The geometric sequence is the sequence which is of the form a,ar,ar2,ar3,......  , where a is the…

Q: 9. find the of the geometric series. sum if possible. 3(2)"-! nil

A: We have to find sum

Q: Find the sum of the first 10 terms of the geometricsequence 5, 10, 20, ....

A: The given geometric sequence is, 5,10,20…… The first term of the geometric sequence is 5, The common…

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

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Q: If the 8th term of an arithmetic series 39 and the 20th term is -33. What is the common difference?

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

A: We can find the answer as below

Q: Prove: The sum of an odd number of odd numbers must be odd.

A: Let us prove this by induction, that if n is odd and a1,a2,. . .. .an are odd, then ∑i=1nai is odd.…

Q: Find the sum of first 24 terms of the list of numbers whose nth term is a, = 3 + 2n

A: Introduction :

Q: Find the sum of first 20 terms of an AP in which 3rd term is 7 and 7th term two more than thrice of…

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Q: Find the sum of the first 31 terms of the following series, to the near 4, 11, 18, ...

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

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

Q: 8.. If both the terms of a ratio are added with the same non-zero number, the ratio remains…

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

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 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 first 15 terms of the geometricsequence 100, 50, 25, .....

A: The geometric sequence is given by a,ar,ar2,...,arn, here a is the first term of sequence and r is…

Q: Find the sum of the first 330 positive odd integers.

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Q: 17 + (-17) + 17 + (-17) + ..., S6-

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Q: Find the sum of the first 7 terms of the arithmeticsequence 1, 3, 5, .....

A: The set of numbers can be arranged with some pattern among them. Some sequence of numbers are named…

Q: Find the sum of the first 10 terms of the arithmeticsequence with first term 50 and common…

A: Given, First term of Arithmetic progression (AP) is a=50 common difference , d=3 Number of terms,…

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: Find the sum of the first 15 terms of the series 51 + 153 + 459 + 1377 + ….

A: Using Geometric Progression we can get the sum of series

Q: the first four terms to ximate the sum of the series:

A: Given,                ∑n=1∞1n2+1

Q: Find the Sum of the Series S구)는 -, (주)를 -오루 2주 - 주

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Q: Find the sum of the first 8 terms of the geometric series: 1-3+9 – 27..

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Q: Find 81 term of series 41,43,45...

A: As we know that; The expression for the nth term of the arithmetic sequence is: Tn=a+n-1d Where, a…

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

A: Given that: 10+7+4+...

Q: Find the sum of the first 18 terms of a geometric series if the first term is 1 and r= 2.

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Q: Find the sum of the first 10 terms of the arithmeticsequence 7, 10, 13, ....

A: To find the sum of the first 10 terms of the arithmetic sequence, 7,10,13,...

Q: Find the sum of first 24 terms of the list of numbers whose nth term is a. 3+2n

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Q: Find the sum of the initial six terms of (2, 5, ... if... a. It is an arithmetic series

A: Answer (a): The given series is: {2, 5, ....} The first term of this series is a = 2.  If this is…

Q: Find the sum of the first 10 terms of the geometricsequence with first term 5 and common ratio -2.

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Q: Determine the sum of the first 14 terms of the following series: 2 – 6+ 18 – 54+.. - -

A: First of all find all 14 terms using logic then add them

Q: Find the sum of the first 20 terms of the arithmetic series if a, = 5 and a,0 = 62 '20

A: The first term of the arithmetic series is a1=5 and 20th term of the series is a20=62. Evaluate d…

Q: The sum of the first 48 terms of an arithmetic series is 4 times the sum of the first 36 terms of…

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Q: The sum of the first 4 terms of a geometric series is 15 and the sum of the next 4 terms is 240.…

A: Here we will find the positive constant ratio,

Q: Find the sum of the first 12 terms of the arith metic seauence 20,18,110,..

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Q: What is the sum of the infinite series 1 "n=1 102m ?

A: Sum of the infinite geometric series , S =a1-r ; where , a-first term and r<1 is common ratio .

Q: Find the sum of the finite arithmetic sequence. Sum of the first 70 positive odd integers

A: The given question is solved below.

Q: Find the sum of first 24 terms of the list of numbers whose nth term is a = 3 + 2n

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.