Question

The nth term of a different sequence is 5n^2. Work out the 4th term for this sequence.

Answer 1

The 4th term of the sequence, which follows the formula
`5n^2` for the nth term, is 80.

Step-by-step explanation:

The formula given for the nth term of the sequence is
`\(5n^2\)`, where n represents the position of the term in the sequence. To determine the value of the 4th term, substitute n = 4 into the formula:

`\[5n^2\]`

`\[5 * 4^2\]`

`\[5 * 16\]`

Solving this expression step by step,
`\(4^2\)` equals 16. Multiplying 5 by 16 gives us the value of the 4th term:

`\[5 * 16 = 80\]`

Therefore, based on the given formula
`\(5n^2\)`, the 4th term of this sequence evaluates to 80.