QuestionThe $n^{\text {th }}$ term of a sequence is given by $5 n-2$
What is the $8^{\text {th }}$ term of this sequence?

Studdy Solution

STEP 1

1. The sequence is defined by the formula for the $n^{\text{th}}$ term: $a_n = 5n - 2$ .
2. We need to find the specific term in the sequence when $n = 8$ .

STEP 2

1. Substitute $n = 8$ into the formula for the $n^{\text{th}}$ term.
2. Calculate the value of the $8^{\text{th}}$ term.

STEP 3

Substitute $n = 8$ into the formula for the $n^{\text{th}}$ term:
$a_8 = 5(8) - 2$

STEP 4

Calculate the value of $a_8$ :
$a_8 = 5 \times 8 - 2$ $a_8 = 40 - 2$ $a_8 = 38$
The $8^{\text{th}}$ term of the sequence is:
$\boxed{38}$

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