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The last term of the sequence {-18,-11,-4,...} is 150. How many terms are there in the sequence? ​

The last term of the sequence {-18,-11,-4,...} is 150. How many terms are there in the sequence? ​

Asked by: Guest | Views: 287
Total answers/comments: 1
Guest [Entry]

"Step-by-step explanation:

Let n be the number of terms.

Notice that the first term, a(1), is

and the common difference, d, is

Take note that, since the number of terms is unknown, set 150 to be the nth term, a(n).

Next, we substitute these values into the formula for the nth term of an arithmetic sequence:

Distribute 7:

Then, isolate all constants to the left side:

Dividing both sides by 7, we get

Therefore, there are 25 terms in the sequence.

Hope this helps."