Determine whether the infinit geometric series has a sum. If so, find the sum 4 12 4 4 3

Q: b. Find the sums of the following infinite geometric series , if i-1 it exists T, 4 (%)

A: Infinite series problem.....

Q: Evaluate the geometric series or state that it diverges. 5.3k Σ k=3

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Q: Find the sum of the infinite series, if it exists. 24, 12, 6, 3, .... Does Not Exist 23.5 48 O 1.5

A: Given : The series 24, 12, 6, 3, ...   To find the sum of the infinite series.

Q: ind the sum of the geometric series 20 40 5 - " + 9. 27

A: In this question, the concept of the sequence is applied. Sequence A series is created by a…

Q: Find the sum of the arithmetic series: 12 + 8 + 4 + ... + (-20).

A: Let's find.

Q: Evaluate the infinite geometric series described. i-1 12) i = 1 -2

A: Given: The infinite geometric series, ∑i=1∞-2·-14i-1.

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: Find the sum of the infinite geometric series defined by 4(0.5)"-1 O None of the choices O 1 O 4 O 8

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Q: Evaluate each infinite geometric series described. 33 3 + 20 40 10 5 +

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Q: 12 (4 – 10n) n =1

A: Proceed as shown below...

Q: Find the sum of the geometric series 26. (0.9)"-1

A: Given,             ∑n=1∞6·0.9n-1

Q: Evaluate the geometric series or state that it diverges.

A: Given: The geometric series ∑k=0∞3-π-k, To evaluate: The given series if it is convergent.

Q: Find the sum of the infinite geometric series 1, 5, Ā 2 4

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Q: If a,,ª,,.....ª, is an AP of non-zero terms, what is the sum of the following series? 1 9,9₂ azaz

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Q: Find the sum of this infinite geometric series, if it exists. 7 21 63 189 8 16 32 64 -1.75 7.1 7.2

A: Solution : Consider the given infinite geometric series is 78+2116+6332+18964+... The first term of…

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 Arithmetic Series. 19, an = 309, 1 n 30

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Q: Evaluate each arithmetic series described. 14 35 21) 2(-Зп - 7) 22) Σ (7-2) 13 1 +-n 24) а, 3 13, а…

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Q: Choose the correct sum of the following geometric series Σο(!)" Option 2 O Option 4 O Option 1 O…

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Q: Evaluate each arithmetic series described. 8 7) E(-2i – 8)

A: Given arithmetic series  ∑i=18(−2i−8)

Q: 11 Identify the following series as arithmetic, geometric, both, or neither. -3 + 3 - 3 + 3 - 3 +…

A: The given series is -3+3-3+3-3+..........

Q: E(-3)(3)*-1 %3D

A: The geometric series is given by ∑k=18-33k-1 To evaluate : The sum of the geometric series.

Q: Evaluate each geometric series described.

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Q: Find the sum of the infinite geometric series if it exists.256 + 192 + 144 + 108 + .....

A: Known fact: ∑n=0∞ arn=a1-r   if r<1.

Q: Evaluate the geometric series or state that it diverges. 3• 4k Σ k=3

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Q: 25) 26) Σ 0.4.0.9'-1 3 i=1

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Q: 10 8) E(-2m – 7) –2m – 7) m = 1

A: The symbol ∑ represents summation of terms as value of m varies from 1 to 10. Substitute the value…

Q: Find the sum, if it existsof the Infinite geometric series S=21+9+3.86+

A: solution:- its geometric series because the common ration is same between the digits

Q: Evaluate the geometric series or state that it diverges.

A: Given: S=∑k=1∞3-183k for evaluating given summation, first we expand it so,…

Q: Find the sum of the geometric series, if possible. 15+ 5+ 5/3 + 5/9 + 5/27 + 5/81

A: Topic- sum of series

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: 19. S,3; a, =16, a, = 98

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Q: ind the sum of the infinite geometric series or show that the sum does not exist: 9 + 3+1++....

A: We know that sum of infinite geometric series with 1st term 'a' and common ratio 'r' is given by…

Q: Determine whether the series is arithmetic or geometric, then find s; (6 + 1 + (-4) + (-9) + . .. }…

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Q: Find the sum of the infinite series, if it exists 1, 2, 4, 8,.. 16

A: The sum of an infinite geometric series (GP) is given by , where a is the first term of the series…

Q: evaluate each geometric series described  -4+8-16+32..., n=8

A: Given that we need to evaluate each term of geometric series  -4 + 8 - 16 + 32 ..... for n = 8  Now,…

Q: 100 а. 2" 3n 7 b. 2n=1 4n 100

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Q: Evaluate the geometric series or state that it diverges. 3.4k 7k k= 3

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Q: Identify whether the series is an arithmetic series (AS), geometric series (GS) or not one of the…

A: The Sum of AP with n terms, having a as the first term, L as the last term, and d as the common…

Q: Evaluate each arithmetic series described. 8 7) É(-2 i = 1

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Q: if it exists, Find the sum of the infinite geometric series 1 - 1/3 + 1/9 - . . .

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Q: Evaluate each infinite geometric series described. 3 10 3 20 40

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Q: 7. Evaluate each geometric series or state that it diverges. Provide reasons for your conclusion. k…

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Q: Find the sum of the infinite geometric​ series, if it exists.   −12−4−4/3−4/9−

A: Explanation of the solution is given below...

Q: Evaluate the geometric series or state that it diverges. 7 Σ 4m m=2

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Q: evalutate each arithmetic series described  a1=14, an=36, n=12

A: an=a+n-1d remember this

Q: um of the first sixteen terms of an arithmetic series is 632, and the eleventh tem is termine the…

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Q: Find the sum of the following arithmetic series and write in summation notation.

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Q: 28 Σ (9-4)

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