How menu terms are in the arithmetic sequence 7,0,-?

27 terms

Step-by-step explanation:

Here the first term is 7 and the common difference is -7.  Each new term is equal to the previous term, less 7.

The general formula that involves first and last terms, common difference and number of terms is    last = first + (n - 1)(common difference)

We substitute the knowns, as follows:

                                           -175 = 7 + (n-1)(-7)

Solve this first for n-1, and then for n:

Subtract 7 from both sides:   -182 = - 7(n-1)

Dividing both sides by -7 yields  26 = n - 1

Then n = 27.

There are 27 terms in this arith. sequence.

let x be the money she spent so that she can earn the free t-shirt.

since, she already spent $112.49

⇒

also, as per the statement: jennifer must spend $250 or more in order to qualify for a free t-shirt at the store.

then,

we have an inequality i.,e

subtract 112.49 from both sides we get;

therefore, $137. 51 more money does jennifer need to spend so that she can earn the free t-shirt