Question

in an arithmetic sequence 6th term is 38 and 11th term is 73 find common difference and first term​

Answer 1

Answer:

Given , 6th term = 36 and 11th term = 73.

$a + 5d = 38 \: \:$

$a + 10d = 73$

Now , using the elimination method of linear equations.

we get ,

$- 5d = - 35$

$d = 7$

Applying d's value in above equation gives,

$a + 5 \times 7 = 38$

$a = 38 - 35 = 3$

$a = 3$

Hence , the first term is 3 and common difference is 7.