question archive 1) In an arithmetic series, the sum of the second term and the fifth term is 49
1) In an arithmetic series, the sum of the second term and the fifth term is 49
Subject:MathPrice: Bought3
1) In an arithmetic series, the sum of the second term and the fifth term is 49.
Three consecutive terms of the same series are 5x - 38, 3x - 7 and 2x + 11.
If the sum of the terms in the series is 345
i. Find x
ii. Find the common difference, d and the first term, a
iii. Find the number of terms in the series, n
Consider the geometric series:
3 + 15/9 + 75/81 + 375/729 + ...
I. Determine a formula for Sn
where Sn is the sum of the first n terms of the series?
II. What is the limit of Sn
Consider the series:
3 + 15/7 + 75/49 + 375/343 + ...
i. Determine a formula for Sn
where Sn is the sum of the first n terms of the series?
ii. What is the limit of Sn
Consider the series:
7/3 + 19/3 + 31/3 + 43/3 + ...
What is the smallest value of n such that Sn > 200,
where Sn is the sum of the first n terms of the series?
Consider the geometric series:
1 + 5/7 + 25/49 + 125/343 + ...
Determine a formula for Sn the sum of the first n terms of the series?
