Question

Find the 88th term of the arithmetic sequence 4,-1,-6

Answer 1

Answer:

an = a1 + d(n - 1)

a88 = 4 + (-5)(88 - 1)

a88 = 4 + (-5)(87)

a88 = 4 - 435

a88 = -431

So, the 88th term of the arithmetic sequence is -431.

Answer 2

The 88th term of the given arithmetic sequence is equal to -431.

Given the following data:

• First (1st) term = 4

• Second term = -1

To calculate the 88th term of the given arithmetic sequence:

Mathematically, the nth term of an arithmetic sequence is given by the formula:

$a_n = a_1 + d(n - 1)$   ...equation 1.

Where:

• d is the common difference.

• $a_1$ is the first term of an arithmetic sequence.

First of all, we would determine the common difference as follows:

$d = a_2 - a_1\\\\d=-1-4$

d = -5

Substituting the values into eqn. 1, we have:

$a_{88} = 4 + [-5](88 - 1)\\\\a_{88} = 4 -5(87)\\\\a_{88} = 4 -435\\\\a_{88} = -431$

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