Question

Use the rule to find the 15th term of 88,92,96,100

Answer 1

To find the 15th term of the sequence 88, 92, 96, 100, we first identify the pattern in the sequence.

The sequence increases by 4 each time:
- 88 to 92: increase of 4
- 92 to 96: increase of 4
- 96 to 100: increase of 4

This means the sequence is an arithmetic progression (AP) where:
- The first term \( a = 88 \)
- The common difference \( d = 4 \)

The formula for the \( n \)-th term of an arithmetic sequence is given by:
\[
a_n = a + (n - 1) \cdot d
\]

To find the 15th term (\( n = 15 \)):
\[
a_{15} = 88 + (15 - 1) \cdot 4
\]
\[
a_{15} = 88 + 14 \cdot 4
\]
\[
a_{15} = 88 + 56
\]
\[
a_{15} = 144
\]

Therefore, the 15th term of the sequence is **144**.