5th term of an arithmetic sequence is 15 and its 9th term is 27 .a) Wh

1.	5th term of an arithmetic sequence is 15 and its 9th term is 27 .a) What is its common difference ?
Answer» Step-by-step explanation: Given , a(5) = 15 a(9) = 27 We know, a(N) = a1 + (n-1)d thus, a(5) = a1 + 4d = 15 ------ 1 a(9) = a1 + 8d = 27 ------ 2 Applying elemination method on equation 1 and 2, we get, 4d = 12 => d = 3

5th term of an arithmetic sequence is 15 and its 9th term is 27 .a) What is its common difference ?

Answer»

Step-by-step explanation:

Given ,

a(5) = 15

a(9) = 27

We know,

a(N) = a1 + (n-1)d

thus,

a(5) = a1 + 4d = 15 ------ 1

a(9) = a1 + 8d = 27 ------ 2

Applying elemination method on equation 1 and 2,

we get,

4d = 12

=> d = 3

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5th term of an arithmetic sequence is 15 and its 9th term is 27 .a) What is its common difference ?

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