Question

What is the common difference of an AP in which a27–a7 = 84?​

Answer 1

$\huge{\mathcal{\pink{Answer}}}$

$a + (27 - 1)d - a + (7 - 1)d = 84 \\ a + 26d - a + 6d = 84 \\ 32d = 84 \\ d = \frac{84}{32}$

$\huge{\mathcal{\boxed{\pink{d=21/8}}}}$

Answer 2

Answer:

a27=a+26d

a7=a+6d

atq,

a27-a7=84

a+26d-(a+6d)=84

a+26d-a-6d=84

20d=84

d=4.2