Question

the first term of an arithmetic sequence is -3 and the fifteenth term is 53. What is the common difference of the sequnce?

Answer 1

Answer:

4

Step-by-step explanation:

Given  

the first term of an arithmetic sequence is -3 and the fifteenth term is 53. What is the common difference of the sequence?

Given first term a = - 3, fifteenth term Tn = 53, n = 15

We need to find d

We know that

Tn = a + (n – 1) d

T 15 = - 3 + (15 – 1)d

53 = - 3 + 14 d

14 d = 53 + 3

14 d = 56

d = 56/14

d = 4

So common difference of the sequence will be 4.