Question

The number of terms are in 3,7,11,15,....63

Answer 1

Hello !!

For you how many terms has this sequence, you can make use of this formula.

An = Ak + (n - k) × d

But, you need find the common difference in first place.

d = (An - Ak)/(n - k)

d = (7 - 3)/(2 - 1)

d = 4/1

d = 4

Now, you calculate how many terms has this sequence.

An = Ak + (n - k) × d

63 = 3 + (n - 1) × 4

63 = 3 + 4n - 4

63 = 4n - 4 + 3

63 = 4n - 1

4n - 1 = 63

4n = 63 + 1

4n = 64

n = 64/4

n = 16

Final result : this sequence has 16 terms.

I hope I have collaborated !

Answer 2

Answer:

The answer is 16th term