Question

For the following AP, write the first term and the common difference

$-5,-1,3,7$

• A. First term: $7$ and Common difference: $7$
  
• B. First term: $3$ and Common difference: $-1$
• C. First term: $-5$ and Common difference: $4$
  
• D. First term: $3$ and Common difference: $-2$

Answer 1

The correct option is C First term: $-5$ and Common difference: $4$

Given series is $-5,-1,3,7,....$

First term $a=-5$

And common difference $d=a_2-a_1$

$=-1-(-5)$

$=-1+5$

$=4$