In an arithmetic sequence, the nth term an is given by the formula An=a1+(n−1)d, where a1is the first term and d is the common difference. Similarly, in a geometric sequence, the nth term is given by an=a1•rn−1.Here r is the common ratio. Use these formulas to determine the indicated term in the given sequence.The 30th term of 1, 4, 7, 10,...
Accepted Solution
A:
Answer:[tex]a_{30} = 88[/tex]Step-by-step explanation:In this question we are given a sequence: 1, 4, 7, 10,...If we closely examine this series it is an arithmetic progression.An arithmetic progression is of the form [tex]a, a+d, a+2d, a+3d, ...[/tex], where a is the first term of the series and d is the common difference.The [tex]n^{th}[/tex] term of the series is given by the formula:[tex]a_n = a + (n-1)d[/tex]The [tex]30^{th}[/tex] term of the given series is:[tex]a_{30} = a + (29)d = 1 + (29)3 = 88[/tex]