find term of in series

A set of numbers arranged in a definite order according to some definite rule is called a sequence. A sequence is a function whose domain is the set N of natural numbers. Indicated sum of the terms in a sequence is called a series. The result of performing the additi..

What is the number series of the figure pattern up to fifth term? => 15, 14, 12, 9, 5 or 5, 4, 3, 2, 1 or 13, 12, 11, 10, 9 or 14, 13, 11, 9, 5..

The sum of an infinite geometric series is 12 times the first term. What is its common ratio? => 12 11 or 1 12 or 1 11 or 11 12..

In an arithmetic series, the sum of first 16 terms is 560 and the common difference is 6. What is the first term? => -4 or -16 or -10 or 2..

In an arithmetic series, the sum of first 16 terms is 672 and the common difference is 10. What is the first term? => -43 or -33 or -23 or -13..

In an arithmetic series, the sum of first 12 terms is 552 and the common difference is 8. What is the first term? => - 6 or 18 or 2 or 10..

Summary - (i) Let X be a set of numbers and f : N n X be a function, then the ordered set {f(1), f(2),...., f(n)} is called a finite sequence in X. (ii) Let X be a set of numbers and f : N X be a function, then the ordered set {f(1), f(2),....} is called an infinite sequence in X. If {T n } is a se..

In a geometric series a 1 = 216 and 4 th term is 125. Find the sum of the first 4 terms. => 682 or 341 or 125 or 671..

Find the sum of n terms of the geometric series 1 + 6 + 36 + 216 + ... . => 1 5 (6 n - 1) or 1 6 (6 n + 1) or 6(6 n - 1) or (6 n + 1)..

Find the sum to n terms of the geometric series. 1 + 10 + 100 + 1000 + ... => 1 9 (1 - 10 n ) or n 2 [ 2 + ( n - 1 ) 9 ] or 10 n - 1 or 1 9 (10 n - 1)..