Question

Find the common difference of an A.P. in which a7 - a4 = 9​

Answer 1

Answer:

a7=a+6d

a4=a+3d

put in give relation

a+6d -a-3d=9

d=3

Answer 2

Answer:

First term (a) = 28

Given in an A.P

common difference (d)=-4---(1)

Let first term = a

/* we know that ,

$nth \: term = (an) = a + (n - 1)d$

*/

Now,

$a7 = 4$

/* given */

=> a + 6d = 4

=> a + 6(-4) = 4 [ from (1)]

=> a - 24 = 4

=> a = 28

Therefore,

First term (a) = 28

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