Question

The Nth Term Of A Sequence Is Given By Tn=7n−3. How Many Terms Of The Sequence Are Less Than 300? What Is The Value Of The First term greater than 300 ?

Answer 1

The number of terms less than 300 is 43 and the first term greater than 300 is 305.

Step-by-step explanation:

To find the number of terms in the sequence that are less than 300, we can set up the inequality:

7n - 3 < 300

We can then solve for n:

7n < 303

n < 43.29

Since n represents the number of terms in the sequence and cannot be a decimal, the number of terms that are less than 300 is 43.

To find the first term greater than 300, we substitute n = 44 into the nth term formula:

T44 = 7(44) - 3

T44 = 305

Therefore, the value of the first term greater than 300 is 305.