Find the sum of the first 34 terms of the arithmetic sequence with first term 3 and 34th term 69.

Q: Find the sum of the first 25 terms of the arithmetic sequence: 7, 19, 31, 43, .....

A:

Q: Find the 100th term of the arithmetic sequence with first term 1 and ninth term 17.

A: It is given that the first term of the arithmetic sequence is 1 and the ninth term is 17.

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 83rd term of the arithmetic sequence with first term 9 and common difference  − 1/2

A:

Q: Find the first term and the common difference of the arithmetic sequence whose 8th term is 1 and…

A:

Q: Find the sum of the first 8 terms of the geometric sequence 3,6,12,…

A: First term= a= 3 Common ratio= r= 6/3= 2

Q: Find the sum of the first 14 terms of the geometric sequence: - 3/2, 3, -6, 12, . . . .

A: The given geometric sequence is -32,3,-6,12,.. here the first term of the sequence is -32. find…

Q: m of the first 10 terms in an arithmetic

A: Given, the sum of the first 10 terms in an arithmetic sequence is 530.

Q: Find the sum of the first 14 terms of the arithmetic sequence. 5, 10, 15, 20, 25, ...

A: Given:

Q: Find the first term and the common difference of the arithmetic sequence whose 9th term is – 28 and…

A: To find: The first term and common difference of the arithmetic sequence. Given: The 9th term of the…

Q: Find the sum of the first 37 terms of the arithmetic sequence. 29, 36, 43, 50,

A: Given,          The sum of the first 37 terms of the arthmetic sequence             29 , 36 , 43 ,…

Q: Find the 5th term of the geometric sequence: – 5, – 30, – 180, ... - - Round to 1 decimal place if…

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Q: Find the sum of the first 8 terms of the geometric sequence 2, 6, 18, 54, ..

A: From the given statement, the geometric sequence is 2, 6, 18, 54, …Obtain the sum of the first 8…

Q: Find the 74th term of the arithmetic sequence –8, 0, 8, ...

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Q: Find the sum of the first 25 terms of the sequence. 46, 8, 10, S25-

A: This question is related to arithmetic progression .

Q: Find the 51st term of the arithmetic sequence –17, –25, –33, ...

A: we know that nth term of arithmetic sequence is given by Tn=a+n-1d where, a is first term and d is…

Q: Find the 86th term of the arithmetic sequence 16, 18, 20, ...

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Q: Find the sum of the first 40 terms of the sequence. {1, 6, 11, 16, …}

A: Given sequence is 1, 6, 11, 16, .......

Q: Find the sum of the first 11 terms of the geometric sequence: 3, -6, 12, -24, . .

A:

Q: Find the sum of the first 15 terms for the sequence: 7,10, 13, 16, 19,

A: We have 7,10,13,16,19,.........15th termFirst term a=7common Difference d=10-7=3

Q: Find the sum of the first 14 terms of the geometric sequence: , 3, -6, 12, ...

A: Given geometric sequence is,

Q: Use the formula for the sum of the first n terms of a geometric sequence to:

A: The given geometric series is: -32, 3, -6, 12,....  The first term of this series is a=-32 and the…

Q: Find the sum of the first 11 terms of the geometric sequence: 4, -12, 36, -108, . . . .

A: Sum of first n terms of a geometric sequence a, ar, ar2,... is Sn=a1(1-rn)1-r Where a1 is first term…

Q: Find the sum of the first 50 terms of the arithmetic sequence: 16, 23, 30, 37, .. О 366

A: Given:  The given Arithmetic sequence is 16,23,30,37,.... To find :  Sum of first 50 terms of the…

Q: Find the sum of the 3rd and the 7th term of the sequence: 1, 4, 13, 40, 121, ...

A: We have to find the sum of 3rd term and 7th term of the given sequence.

Q: Find the eighth term of the geometric sequence whose second and fourth terms are 0.2 and 5.

A:

Q: Find the sum of the first 15 terms of the geometric sequence: 5, -15, 45, -135, . . . .

A: Given geometric sequence is 5,-15,45,-135,... First term of the sequence, a= 5 Common ratio of the…

Q: Find the sum of the first 36 terms of the arithmetic sequence with first term 5 and 36th term 110.

A: Given first and 36th term is 5 and 110.

Q: Find the sum of the first 68 terms of the arithmetic sequence.

A: The given question is taken from the sequence and series and we have to find the value of  some of…

Q: How many terms are there in an arithmetic sequence with first  term 12, common difference −2, and…

A: Using formula.

Q: Find the sum of the first 18 terms of the geometric sequence: 2, -8, 32, -128, . . . .

A: The given geometric sequence: 2, -8, 32, -128 first term (a) = 2 common ratio r=ara=-82=-4 number of…

Q: Find the sum of the first 40 terms of the arithmetic sequence with first term 3 and 40th term 120

A: According to question given thatwe have to calculate the first 40 terms sum of the arithmetic…

Q: What will be the sum of first 6 terms of he geometric sequence with the first term a1=2 and a2=24

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Q: Find the sum of the finite arithmetic sequence. Sum of the first 150 positive odd integers

A: To determine the sum of the first 150 positive odd integers.

Q: Find the 100th arithmetic sequence with 1st term 5 and eighth term 19

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Q: Find the sum of the first 20 terms of the sequence 5, 10, 15, 20, ...

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Q: Find the sum of the first 38 terms of the arithmetic sequence with the first term 4 and the 38th…

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Q: Calculate the 35th term for this arithmetic sequence: 5, 9, 13, 17,..

A: Given, the arithmetic sequence is              5, 9, 13, 17, . . .

Q: Find the sum of the first 11 terms of the geometric sequence: 7, -21, 63, -189, 567, . . . .

A:

Q: Find the sum of the first 7 terms of the Geometric Sequence 3, 6, 12, 24, …

A: We can solve the problem by geometric progression rules.

Q: Find the 10th term of a geometric sequence whose 2nd term is 7 and whose 5th term is 35. Report it…

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Q: Find the sum of the first 60 terms of the sequence. {2, 10, 18, 26, …}

A: Given sequence is 2, 10, 18, 26.........

Q: Find the first term and the common difference of the arithmetic sequence whose 7th term is 9 and…

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Q: Determine the sum of the first 8 terms of the geometric sequence. 24.8..

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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 first term and the common difference of the arithmetic sequence whose 11th term is – 15 and…

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.