The sum of a geometric series 6 + 3 + 1.5 + + 0.023 437 5 is O A) 11.87 O B) 5.988 28 OC) 11.976 562 5 D) 125

Q: 4) -16 – 8 – 4 - 2.. A) -32 B) -33 D) 2 C) No sum

A: Here, we know that the sum of infinite geometric series if the common ratio is less than one , will…

Q: 1 a) 1+· + ... + 4(8) + + 4(1) 4(2) 4(3) 1 1 1 b) 1- 2 4 8 64

A: Write in summation notation,

Q: 1.) 1, 8, 2, 9, 2.) 2, 11, 9, 18, 3.) 5, 4, 8, 7, 4.) 8, 14, 9, 15, 5.) 6, 14, 9, 17,

A: To fill the blanks in the given series.

Q: find the sum of the infinite geometric series if possible a) 1 - 1 = ²2 + 14 - 1²/2² +.... b) ²/5 +…

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Q: What is the 1Oth term of the sequence: 1, 4, 7, 10, 13, ... ? a) 27 b) 28 c) 25 d) 31

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Q: a) Let an be an arithmetic sequence. If as 94, a6 = 85, find the common difference d and the formula…

A:

Q: Consider the sequence given by an = 2 · 5"-'. a. Find the first 4 terms of the sequence. What sort…

A: The sum of first n terms of a geometric series is calculated using the formula, an=a(rn-1-1)r-1,…

Q: What is the value of c in the geometric series 24 + b +c +d+ e +f+. .. if the sum of the series is…

A:

Q: What is the result of the sum of the following series represented in the image below? Select the…

A: Given series

Q: 2. For each arithmetic series, state the values of a and d. Then, determine the sum of the first 20…

A: Disclaimer: Since you have posted a question with multiple sub-parts, we will solve first three…

Q: Find sum CiR CiR any) of the series the +] 16

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Q: The third term in the sequence with a1 = 4 and an= an-1+5n where n > 1 is 29 4 O 19 34 O 14

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

Q: Question 8 "What is the sum of the first 20 terms of the sequence 2, 5, 8, 11, ?" (A) 590 (B) 610 C)…

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Q: 2. Write an expression for the nth term of the sequence а) 2, 8, 14, 20 ... 1 1 1 b) 1, 4 ' 9 16

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Q: 2 4 What is the common ratio of the sequence: . 1, 3 9 27' a) 3 b) O d) 3

A: We have to find out

Q: tind the exect o the series Sum ncnt2)

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Q: The 12th term of the geometric sequence 2,3, 4.5 A) 154.885 B) 97.342 C) 128, 284 D) 172.995.

A: Geometric Sequence : 2, 3, 4.5 , . . . . . . .

Q: Given sequence a1, a2, ' , an , the nth term is a, = 3 x 8"-3, find the 6th term. ... 12288 50331648…

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Q: a) The 3rd term of an arithmetic series is (5x + 5y) and the 6th term is (8x + 11y). Find, in terms…

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Q: 11) -3 + 15 – 75 + 375..., n= 8 12) 2+8 + 32 + 128..., n= 8 13) a, = 1, r=4, n=7 14) a = 3, r=2, n=7

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Q: Evaluate each infinite geometric series described. 1 5) a₁ = 16, r == 4

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Q: Evaluate the sum f I (^. K?

A: For the given summation  ∑k=15(-1)k.k2

Q: Q9) Find the rule for the nth term (term an )of the following sequence: a) 2, 6, 18, 54, ... b)…

A: Note: According to Bartleby we have to answer only the first three subparts please upload the…

Q: Recall that W = {p(x) e P3(R) : p(1) = 0} is a 3-dimensional subspace of P3(R) (this is given, you…

A: Given that, W=p(x)∈P3(R):p(1)=0 The aim is to find an isomorphism from R3 to W.

Q: 6. Determine the sum of each geometric series. a) 27+ 9 + 3 + + 1 243 b) 7 + 3.5+ 1.75 + ... + 0.109…

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Q: 5) Find the value of the infinite geometric series. a) 500 - 100 + 20- 4+...

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Q: The sum of the infinite geometric seres 7n+1 is: n=1 10 OA. 10 3 Ов. 49 В. Oc 10 7 D. 49 10 E. 7 10

A: using the formula of sum of the infinite geometric series....

Q: (2a) Find a specific geometric series that sums to 20 b) can you find a specific geometric series…

A: (2a) Find a specific geometric series that sums to 20A geometric series is a series of the…

Q: The third term in the sequence with a = 6 and a = ap-1+5n where n > 1 i . O 31 O 21 O 16 O 36

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Q: Find the sum of the first 61 terms of the sequence {3, 5, 7, 9, 11,...}. OA) 3843 OB) 3904 OC) 7625…

A: To find the sum of the first 61 terms of the following sequence.

Q: n3 A) Show that the series is converg ent b) Find minimum number of terms of the series that we need…

A: (a) Given that : ∑n=1∞-1nn.3n. Therefore, an=-1nn.3n Now, an+1=-1n+1n+13n+1=-1n.-13.n+1.3n…

Q: Determine the number of terms n in each arithmetic series. 10) a,--8, a--125, S--931 A) 11 B) 15 D)…

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Q: s than 60. Find

A: X 75 55 50 40 17 87 18 46 55 34