5) i Khat the value of infinite sum A) B) 9 8/9 914 978 16/9 2- /4 + 1/32 -

Q: 1. Write the first five terms of the sequence defined by i) a, = (-1)"+1 Li. ii) b, = . 2. Find a…

A: Given: Question 1(i)  an=(−1)n+11+nn!(ii)  bn=2nn!find five termsQuestion 2(i)…

Q: What is the sum of <4 + <3

A: The sum of &lt;4+&lt;3 is:

Q: 1 Find the first 10 terms of the sequence an = an-1 Its 9th term is Its 10th term is and a1 = 14. =

A: Given sequence is  an=1an-1 Given a1=14 We need to calculate first 10 terms of the sequence.

Q: thecommon ratio  of the sequence 4,-12,36, -108   use the value for (r) you found in part one to…

A: From given, a0=4a1=-12a2=36a3=-108 Obtain the common ratio.…

Q: Compute the sum 42 + 47 + 52 + . . . + 662

A: 42+47+52+⋯+662Given series is arithmetic sequence a1=42a2=47a3=52d=a2-a1=47-42=5

Q: 7) Given the sequence 1, 2, 4, 8, 16, 32..., find the 10 term and the sum of the first terms.

A:

Q: Study the problem-solving item hereunder and respond to the accompanying questions What is the last…

A: The last digit of the sum: 11+22+33+44+⋯+20012001 is to be obtained. The last digit can be obtained…

Q: Justify 5 For the sequence an = (^3) + mln (m³) 0(?) e am= 0(?) 2 find: am Justify your answers.

A:

Q: What are the terms a₀, a₁, a₂, and a₃ of the sequence {aₙ}, where aₙ equals  a) 2^n + 1? b) (n +…

A: Since you have posted multipart question and we can answer three subparts. So, answered the first…

Q: Find the sum of the first eight terms of the sequence 1/8,−1/4 ,1/2 ,.... please show working

A:

Q: 1 B. E 2n +1 2n +3 n=1

A: Solution of the above series is

Q: Find the 9th term for the sequence of positive 3 digit numbers that are multiples of 5.

A: We have to find the 9th term for the sequence of positive 3 digit numbers that are multiples of 5…

Q: 4+4*4+4^2+4*4^3+...+4*4^22= simply or sum of

A: Given sum is This series is geometric series with first term a =4 , common ratio =r=4 and the…

Q: 4) Find x if the sequence 3, 6, 2x+5, is a) arithmetic b) geometric.

A:

Q: 1327703/take Find the sum of the first 214 numbers of the arithmetic sequence 67, 60, 53, 46, 39,…

A:

Q: help please

A:

Q: The partial sum 1 + 5 +9 +..+ 93 equals Ouesti

A:

Q: -) 2"-1? ) 1 + (-1)"? b) 7? d) -(-2)"?

A: We are given sequence an

Q: 100 7. Evaluate the telescoping sum. 102 101 100 101 1 101 102 101 100 99 100

A: Topic- Summation series

Q: Apply Gauss's trick (show all parts) to evaluate the following sum 15 + 22 + 29 + 36 + ... + 715

A: In Gauss method, add one pair of number from start and end . e.g. : 1st number + last number; 2nd…

Q: 7. (Solve a simpler case or similar problem then look for a pattern) Find the last digit of the sum…

A:

Q: 3) Find the sum e-N

A: Recall: Sum of infinite geometric series :        S∞=a1-r; where 'a' is the first term and 'r' is…