B- Given 0.8+0.08+0.008+.., express it as a geometric series. Find the sum?

Q: Evaluate the (geometric) series as follows, leave your answer in a fraction format

A:

Q: The 3rd term of an arithmetic series is 34 and the 17th term is –8. Find the sum of the first 20…

A: As we know that n-th term of an arithmetic series is    a+n-1d, where a = 1st term and d= difference…

Q: What is the sum of a series? That is, what is meant by > An = S? n=1

A: In the given series If n=1, the corresponding term is a1 If n=2, the corresponding term is a2 . . .…

Q: Use the formula for the sum of the first n terms of an arithmetic series to find the sum. 13 + 8 + 2…

A:

Q: Find the sum of the infinite geometric series, if it exists. 7 a1 = -3, r = 10 S =

A: Explanation of the answer is as follows

Q: Find the sum of the infinite geometric series below 2+1+1/2+1/4+1/8+1/16+...

A: We have to find the sum of infinite gp.

Q: 2. Write the repeating decimal 0.09 = 0.0909090909 first as a geometric series and then as a…

A: Given :0.09=0.0909090909...

Q: Write > 1 as a telescoping series and find its sum. n(n- 1) n=3

A: Given :  A series an= 1/(n(n-1)) Aim : To write it as Telescoping series and to find its sum…

Q: 4. Rewrite the given infinite (repeated) decimal as an infinite series. By summing a geometric…

A:

Q: an=?

A: Given:

Q: What is the sum of the following infinite geometric series? 0.2+0.02+0.002+ ... A 2 -/- -1/- /5

A: SOLUTION-

Q: Approximate using the first four terms of the series if a = 19,  b = 5, c = 8, k = 0.26, and n = 4

A:

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

A:

Q: Express the repeating decimal 0.177177 as a geometric series and then evaluate the series to write…

A:

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: Σ, 6 what is the value of the series

A: Sum of the infinite terms of geometric series whose first term is  'a' and common ratio is 'r' is…

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

A: Solution is below

Q: Write the sum of the given geometric series as a rational number. 0.5 +0.05 +0.005+ 0.0005 + ...

A:

Q: For Exercise, find the sum of the geometric series, if possible. k-1 Σ k=1

A:

Q: 4. Find the sum of the geometric series of the first five terms that is defined by 16 ()". an =

A: Substitute n from 1 to 5  and add all terms

Q: Find the sum of the following infinite geometric series, or state that it is not possible. 31 k 8

A: Given series is- ∑k=1∞8-34k To find the sum of the given infinite geometric series and to state if…

Q: (2 +n

A:

Q: Which of the following is the correct formula to find the sum of the finite geometric series below?…

A: The geometric series is given by 2+23+29+·····+236 To evaluate : The formula of the sum of the…

Q: Find the sum of the first 18 terms of a geometric series if the first term is 1 and r= 2.

A:

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

A:

Q: Determine the number of terms in the geometric series where g - 2 S - 62 andr - 5 (2 nointe)

A: The sum S of n terms of geometric series is given by : Sn=a(1-rn)(1-r).

Q: Find the sum of the series: n!

A:

Q: Find the sum of the infinite geometric series if it exists.1.5 + 0.015 + 0.00015 +....

A: G.P SeriesA Series, in which each term is found by multiplying the preivous term by a fixed…

Q: What happens if you apply the formula for the sum of a geometric series to the following series? Is…

A: Given, 1 + 3 + 32 + 33 + 34 + · · · Since, 3/1 ≠ 32/3 ≠ 33/32 · · · This implies, the given series…

Q: either use the formula for the sum of a geometric series to find the sum or state that the series…

A: Given the sum is 23/7 + 24/72 + 25/73 + 26/74 + ...............∞ This is sum of a ∞ geometric…

Q: Astudent argues that (-1)" /n is an alternating series and therefore converges. Is the student…

A:

Q: Evaluate the geometric series or state that it diverges. Σ-065) k=2

A: Given common ratio= r= -0.65  So, |r|= 0.65 <  1 So this series will converge

Q: For each of the finite geometric series given below, indicate the number of terms in the sum and…

A:

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

A:

Q: For the series below, determine whether it converges absolutely, converges conditionally, or…

A:

Q: n an arithmetic series, the 4th term is 62, and the 14th term is 122. Determine the sum of the first…

A: Topic = series

Q: Use the formula for the sum of an infinite geometric series to solve:A new factory in a small town…

A: A new factory in a small town has an annual payroll of $6 million. It is expected that 60% of this…

Q: use thE formula for the sum of a geometric series to find the sum or state that the series diverges

A:

Q: Which of the following is the correct formula for the sum of the finite geometric series below? 3 3…

A: The given series is 3+34+316+...+3417

Q: Determine the sum, if it exists, of the series. m+1 3 10 10 11 m.

A:

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

A: Given Arithmetic series is, : 4, 11,....... For  Arithmetic series the sum to n terms is given as:

Q: Write the general formula for following alternating series in the form > an. n=1 5 5 - ... 8 10 11…

A:

Q: nd the sum of the first 20 terms of an arithmetic series defined by 19, 35 . O 2,790 O 2,945 O 3,040…

A:

Q: Write the general formula for following alternating series in the form 3 3 3 10 11 12 13

A: we have to find general formula for series

Q: Find the sum of each infinite geometric series, if it exists. 9 27 +.. 8 16 32 64 3 17. a, =-2, r=-…

A: See the calculation below

Q: Find the sum S6 for the geometric series with a1=2 and r=3

A:

Q: Find the sum of the first 10 terms of the geometric series. aд 3 3, r %3D — 2, п %3D 10 n =

A:

Q: What is the general expression for the ?th term of the series -4/3+9/5-16/7+25/9-36/11

A: The given series:-43+95-167+259-3611+...We need write the general expression for the nth term of the…