Question

Find the first term, common difference and AP series whose nth term is 8n+2​

Answer 1

SOLUTION

TO DETERMINE

The first term, common difference and AP series whose nth term is 8n + 2

EVALUATION

Here it is given that the n th term of an arithmetic progression is 8n + 2

First term = ( 8 × 1 ) + 2 = 8 + 2 = 10

Second Term = ( 8 × 2 ) + 2 = 16 + 2 = 18

Third term = ( 8 × 3 ) + 2 = 24 + 2 = 26

Fourth term = ( 8 × 4 ) + 2 = 32 + 2 = 34

∴ Common Difference

= Second Term - First term

= 18 - 10

= 8

Also the Arithmetic progression is

= 10 , 18 , 26 , 34 ,....

FINAL ANSWER

• First term = 10

• Common Difference = 8

• Arithmetic progression is = 10 , 18 , 26 , 34 ,....

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Answer 2

HELLO DEAR,

GIVEN:- The nth term is 8n+2.

To Find the first term, common difference and AP series.

SOLUTION:-

According to question,

an = 8n + 2

a1 = 8 × 1 + 2 = 10

a2 = 8×2 + 2 = 18

a3 = 8×3 + 2 = 26

First term a1 = 10.

Common difference ( d ) = a2-a1

= 18 - 10

d = 8.

The AP series is 10,18,26,34,42,50,58,66...(8n+2)

I HOPE IT'S HELP YOU DEAR,

THANKS.