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

Q: The nth term of a sequence is given by an find the first two terms. %3D n+1"

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Q: a1=-2,a7=-8192,r=-4

A: We will solve the geometric series

Q: For the geometric series 100 - 50 + 25 - ..., calculate t10 and s10

A: We have find the 10 th term and sum of 10 terms of given geometric series.

Q: Determine the sum of the series n² +2n n=1 Write your answer as a numerical value in decimal form.

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

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Q: 2- In an arithmetic series of 50 terms, the 17th term is 53 and the 28th term is 86. Determine, a, d…

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Q: What is the sum of the geometric series:  4 + 4 x 3 + 4 x 33 + 4 x 33 + ... + 4 x 314?

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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: 35, (.5n + 307) n=1

A: ∑n=135 (0.5n+307)=∑n=135 0.5n+∑n=135 307  =0.5∑n=135 n+307∑n=135 1

Q: For the arithmetic series 35+ 32 +29, determine the value of S5.

A: In this question, we want to find the value of S5 for the given arithmetic series.

Q: 25. Σ(3n+5) nel

A: Given: ∑n=113 3n+5 Substituting the value of n=1, 2, 3...., we get ∑n=113 3n+5=3×1+5=8∑n=113…

Q: Find the sum to n terms of the series: 5 + 11 + 19 + 29 + 41.

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Q: Find the n th term of the arithmetic sequence whose initial term is a, and common difference is d.…

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Q: Given the formula, S n =a 1-r^ n 1-r what is the sum of the first nine terms of the geometric series…

A: Note: The geometric series has to be 324, -108, 36, -12,....., Otherwise there will be no common…

Q: Q5. Evaluate the arithmetic series110n + 4.

A: Here i am litile confuse wether 4 is inside summation or not so i have solved for both case

Q: Determine S10 for the series 200 +100 + 50 +....

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Q: Find the sum of the following series En=3 + 3n-1.

A: sum of the following series is given below...

Q: Find the number of terms of the series 5, 8, 11,... of which the sum is 1025

A: Steps and explanations are as follows:In case of any doubt, please let me know. Thank you.

Q: what is the sum of geometric series for which a=2, n=5, and an=35?

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Q: 2. 5, 7,9, .. , 27

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Q: Find the indico 6. 2. 3+ 2 1..2+4+8+ 27 t. 4. 3. 12, (4)"- n= %3D1 2.

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Q: A sum of a geometric series is given for n number of terms. Find the value of n: 111 = ( 1 - 10 n )…

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Q: What is the associated series of the first five terms in a sequence formed by {3n -2}? O 35 O 28 30…

A: the sequence formed by {3n-2}

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

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Q: Find the sum of the infinite geometric series -8, 2, -1/2, . . . O 16/3 O (-32)/5 O (-16)/3 O 32/5

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Q: Find the Geometric Series a1 = -1, r = 3, n 9

A: Given a1=-1, r=3 & n=9we know that sum of n-terms in geometric series is sn=a1(rn-1)r-1…

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