Question

find the 6th term of an arithmetic sequence in which the first term is 7 and the common difference is 4.

Answer 1

27

Explanation:

In an arithmetic sequence, the n th term can be found using the formula:

`a_n = a_1 + (n - 1) * d`

Where:

`\(a_n\) = the \(n\)th term of the sequence\\\\\(a_1\) = \b{the first term of the sequence}\\\\\(n\) = the term number\\\\\(d\) = the common difference between terms`

Given
`\(a_1 = 7\) and \(d = 4\), to find the 6th term (\(a_6\)):`

a₆ = 7 + (6 - 1) × 4

a₆ = 7 + 5 × 4

a₆ = 7 + 20

a₆ = 27

Therefore, the 6th term of the arithmetic sequence with a first term of 7 and a common difference of 4 is 27.