Given the formula for the term to -n arithmetic sequence is U, = 4n – 5. The sum of the first 12 terms of the sequence is А. 170 D. 299 В. 209 Е. 350 С. 252

Q: The second term of a GP is 24 and the sixth term is 121.5, the first term of the sequence will be A.…

A: Solve the following

Q: Find an explicit formula for the following sequence. 3 15 19 where n 1 - 1' 22 4 5

A:

Q: 8. Find the indicated term of each harmonic sequence. 1 1 1 1 a. 10th term - 5'8' 11' 14' 1 1 1 b.…

A: This is a problem related to series and sum calculation. Based on the general formula of harmonic…

Q: Given a Fibonacci sequence, evaluate the sum of 1/ (an 1 x an+1) from 2 to infinity. А. О В. -1/2 C.…

A: We have to find the sum of series.

Q: The sum of the first 50 terms in the arithmetic sequence 50 + 48 + 46 + ... Is A. 98 D. -52 В. 50 E.…

A: In this question we are given with a series and we have to find the sum of first 50 trends of the…

Q: Find the direct formula of a sequence given by 3, -6, 12, -24, 48... an = (-2)n-1 an = 3(-2)n an =…

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Q: Find a formula for the general term a, of the sequence, {1. - 36 216 1296

A:

Q: You know that 4 + 8 + 16 + .. + 2,048 = 4,092. The many terms in the sequence are D. 10 А. 7 В. 8 E.…

A: The values of a and r are: a = 4 (the first term) r = 2 ( the common ratio in multiplication ) Since…

Q: An arithmetic sequence is given by an = -2 + 3(n - 1). Which of the following numbers belongs to the…

A: First we find the common difference of the given arithmetic sequence, after that we obtain the…

Q: 3. а, %3-2, а, 3D (а-)? — 1 2- а,-1 6. а, 3-2, а, 2 9. a, = n° – n?

A: using given formulas of sequence we can find he term of sequence

Q: umbers 17 to 18: Given the sequence 10, 7,3,4,- 17 What is the next term? D. 0 С. 3 А. 5 В. 4 18.…

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Q: 27.The first and 25th term of the sequence an = (-1)"-1(n – 1) are both positive. Ο Α. True О в.…

A:

Q: 02. What is the 20th term of the sequence? 1,2,3,4,5,6 C.1 D. 7 E. not given A. 19 В. 21

A:

Q: Find the explicit formula for the geometric sequence c, With the following information given. C1 10…

A:

Q: Find the sum of the first 10 terms of the geometric sequence defined explicity as: а, — 5 х 2n-1 O…

A: Option B is correct. Detail solution written below.

Q: Find the sum of the first n terms of the following arithmetic sequence. a1 = 2, d = - 4; n = 6 O A.…

A: Given problem:- a1 = 2 ,d = -4 ,n=6  To find:-  Sum of n terms of given arithmetic sequence

Q: A geometric sequence starting with 6 is given by xn+1 =Xn. Find the 5th term in the 3 sequence.

A: Given that the geometric sequence with first term is 6 x1 = a = 6 Given :- xn+1 = 13xn put n = 1 x2…

Q: An arithmetic sequence has terms as = 14 and a11 = 35. Find a1. a. -35 b. 4 с. -12 d. е. -28

A:

Q: Find an for a sequence with the 8th term 28 and the 10th term 42. а. 8n + 28 7n + 28 7n - 14 b. с.…

A: We have to find the general formula for the sequence whose 8th and 10th terms are given

Q: formula. 2(0.5)". 2(0.5)"-1. 2(0.25)"-1. 2(0.5)+1. 4(0.5)"-1. a. b. с. d. е.

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Q: To solve this problem, you will need to calculate n, the ceiling of the arithmetic average of the…

A: Given Data: Let us consider the given n=4. yk=yk-1+kn;k>1y1=n

Sequence and Series

A sequence is defined as a collection of things. Series is defined to sum the things one by one in the sequence.  It was invented by German mathematician Carl Friedrich Gauss.