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

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

A: Given: 3+6+12+24+......... we all know that sum of n terms of geometric sequence is given by…

Q: Find the sum of the first eight terms of the arithmetic sequence in which the fourth term is 9 and…

A: a4=9  &  d=-5 Now consider, a4=9⇒a+3d=9⇒a+3-5=9⇒a=24

Q: Find the seventh term of the geometric sequence whose first term is 5 and whose common ratio is -3.

A: The give sequence is geometric sequence. First term is 5 and common ratio is -3.

Q: Find the sum of the first 94 terms of the arithmetic sequence: -6, –1,4, 9, 14, ...

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Q: Find the 11th term of the following geometric sequence. 2,8, 32, 128, ...

A: This question can be solved using the formula of general term of geometric sequence.

Q: Find the sum of the first 14 terms of the geometric sequence: -1/24, 1/12, -1/6, 1/3 , . . . .

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Q: What is the common ratio of the geometric sequence whose first term is 27 and fourth term is 64?

A: Here we have to find the common ratio of the geometric sequence whose first term is 27 and fourth…

Q: Find the 10th term of the geometric sequence 10,-50, 250,…

A: First find the common ratio r of the geometric sequence than with the help of nth term express find…

Q: Find the sum of the first 50 terms of the arithmetic sequence: -10, -6, -2, 2, .....

A: Given: Given:The arithmetic sequence: -10,-6,-2,2...To determine:Sum of first 50 terms of the given…

Q: Find the sum of the first 7 terms of the geometric sequence: 8, 4, 2, 1, . . . .

A: To Find The sum of the first 7 terms of the geometric sequence: 8,4,2,1,…. Concept: Sum of first…

Q: Find the 12th term of the geometric sequence 5, 20, 80, ...

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Q: Find the seventh term of the geometric sequence whose second and third terms are 2 and -√2.

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Q: Find the specified term of the geometric sequence. 6th term: 5, 15, 45, . . .

A: sequence is 5,15,45,......... first term, a1 = 5 r = a2/a1    = 15/5     = 3

Q: Calculate the 10th term for this arithmetic sequence: 4, 1, -2, -5, ..

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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 14th term of the following geometric sequence 5, 10, 20, 40, ...

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Q: Find the sum of the first five terms of geometric sequence. a1 = -5, r = 4

A: We know that, sum of n terms of an geometric series with first term a and common ration r is given…

Q: Find the sum of the first 20 terms of the arithmetic sequence:4, 10, 16, 22, . . . .

A: Given arithmetic sequence is: 4, 10, 16, 22, ..... The first term = a = 4 The common difference:…

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

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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 100th term of the arithmetic sequence with first term 7 and eighth term 35

A: tn=a + (n-1)d---- Formula a = first term  d = Common difference tn =nth 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 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: Write the first six terms of the geometric sequence with the first term, a1, and common ratio, r.

A: Geometric sequence: -A geometric sequence is a pattern in which the next term is discovered by…

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 12th term of the geometric sequence 7, –35, 175, ...

A: Solving the problem by obtaining the 12th term of the sequence.

Q: Find the specified term of the geometric sequence. 7th term: 5, 30, 180, ... a,

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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: 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 12 terms of the geometric sequence shown below. 4​,12,,36,108,...   the…

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Q: Find the 7th term of the geometric sequence 2, -6, 18, ...

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Q: Find for the 10th term of a geometric sequence whose first term is -3 and whose common ratio is -2.

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Q: Find the sum of the first 97 terms of the arithmetic sequence      9,3,-3,-9,-15

A: Given: The arithmetic sequence as 9,3,-3,-9,-15,... To find: The sum of first 97 terms of the given…

Q: Find the sum of the first 14 terms of the geometric sequence shown below. 2, 6, 18, 54,... ***** The…

A: Given, Geometric sequence 2, 6, 18, 54 .... The objective is to find the sum of the first 14 terms.…

Q: Find the 13th term of the geometric sequence 7, 21,63, ...

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Q: Find the sum of the first 14 terms of the geometric sequence shown below. 2, 6, 18, 54, .. The sum…

A: Given that :  2 , 6,18,54,..... By using geometric sequence...  r = difference ratio.  a = first…

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

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Q: Find the nth term of the geometric sequence. -4, 20, -100,... an

A: This is geometric series . Here is given solution with steps.

Q: Find the 18th term of the arithmetic sequence 3,10, 17, 24, ....

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Q: Find the first 3 terms of the geometric sequence with a, = -160 and a, = 1,280. а. 5,-10, 20 с. 5,…

A: Given data: a6=-160 a9=1280 Solution: The above terms given in the geometric sequence. We know the…

Q: Find the sum of the first 12 terms of the geometric sequence: 2, 6, 18, 54, . . .

A: Consider the following geometric sequence: 2, 6, 18, 54,... First term of the sequence: a=2 Common…

Q: Find the 9th term of the following geometric sequence. 1, 5, 25, 125, ...

A: The nth term of a geometric sequence is an=arn-1 where r is the common ratio and a is the first…

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

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Q: Find the sum of the first 50 terms of the arithmetic sequence below. - 11. -7, -3, 1, ..

A: Sum of n-terms:            Sn= n22a+(n-1)d ; where a is the first term and d is the common…

Q: Find the sum of the first 8 terms of the sequence −1, −7, −49, −343, . . . (geometric)

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Q: Find the sum of the first 11 terms of the geometric sequence shown below. 2, 8, 32, 128, . .... The…

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