Question

10. The common difference of an A.P. in which a25 - a12 = - 52 is: [b] - : (a) 4 b)- 4 (C) -3 (a) 3​

Answer 1

Answer:

The correct answer is option (b)

Step-by-step explanation:

Concept : In an A.P. with first term a and common difference d, the general (nth) term is given by $a_n=a+(n-1)d$

Given $a_{25}-a_{12}=-52$

        $\Rightarrow [a+(25-1)d]-[a+(12-1)d]=-52\\\Rightarrow a+24d-(a+11d)=-52\\\Rightarrow 13d=-52\\\Rightarrow d=-\frac{52}{13}=-4$