Write a rule for the nth term of the sequence. Use your rule to find a 100-
-11, 5, 21, 37, 53, ...

The rule for given sequence is: a_n = -27+16n

And the 100th term is: 1573

Step-by-step explanation:

Given sequence is:

-11, 5, 21, 37, 53, ...

Here

First of all, we have to find if this is an arithmetic sequence

For that purpose, the common difference has to be found. Common difference, denoted by d, is the difference between consecutive terms of an arithmetic sequence

So,

As the common difference is same, the sequence is an arithmetic sequence

General rule for arithmetic sequence is:

Putting values

For 100th term,

Putting n=100

Hence,

The rule for given sequence is: a_n = -27+16n

And the 100th term is: 1573

10010010001010010101001001010010100101010010101010010010101010110010001011010010010001

step-by-step explanation: