What are the values of a1 and r of the geometric series? 1 +3 + 9 + 27+81 1 O a = 1 and r= %3D O a1 = andr= 1 %3D O a, = 1 and r= 3 %3D O a, = 3 and r= 1

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: Define Geometric series.

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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: Find the sum for the series 6+ 2+ + + 3 6561

A: It is a geometric series with, Now let be the nth term of the given series. Then,

Q: 5 k-1 Identify the common ratio in the geometric series % -1 4 (3) 3 12 4 64

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Q: 15 6/

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Q: AWhat is the third term of the series n2"? Select one: O 2 O 17 10 34 None of these

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

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

A: We have to find the sum of the given series.  For this we can use geometric series sum.  I have…

Q: Find and d for the arl thmetic series Siz=-107,a,z=-18 %3D

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Q: Q9. Consider the following algorithm: sum = 0 For j starting at 1 and ending with 15: sum = sum +…

A: We have to solve given problems:

Q: 1. Write 6x5 1+x6 as a power series.

A: To write given function as power series.

Q: In a geometric sequence, the first term is -2 and the common ratio is 3. Find the sum of the first…

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Q: b. Find an expression for the sum of the first n terms of the series 5+8+11+.. Hence, find the value…

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Q: 7. Write the first five terms of the geometric series below. (a) a₁ = 6, r = ²/ (b) a₁ = 5, r = -2

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Q: A certain field is a rectangle with a perimeter of 922 feet. The length is 151 feet more than the…

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Q: 3919, find a601• Given an arithmetic series,S243 = 511272 and a243 5.

A: nth turm :an = a + (n-1)dSum :Sn = n2 (a + an)

Q: Find the surface area of revolution about the x-axis of y = 5 sin(6x) over the interval 0 < x <…

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Q: The sum of the geometric series 1 3-1+ 3 1 + 9. 1 +- 81 - 27 is: none 13 914 OO O

A: I am going to solve the given problem by using some simple calculus to get the required result of…

Q: 4k Sk = an ' 2k +1

A: Given Sk=∑n=1kan=4k2k+1 Determine the first five terms o  the series ∑n=1∞an

Q: Find the sum of each series

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Q: When resistors 1 and 2 are connected in series, the equivalent resistance is 22.1Q. When they are…

A: 2 resistances are connected in series.

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

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Q: .  Identify the series and determine the sum of (3x+2y)+(5x+2y)+(7x+2y)+...+a10 2. In the geometric…

A: This is a AP and GP problem

Q: Question 6 3 Find the sum of the series: 5k k 3 1 a) 50 b) 100 9. 100 9. d) 200 3 50 3.

A: we observe that the given series is a geometric series as every term is a fixed times its previous…