Question

the sum of first 5 terms of an arithmetic sequence is 70 .the sum of the first 11 terms is 286 a) what is its third term? b)what is its sixth term? c) what is the common difference of this sequence? d) what is the first term of this sequence e) write the algebraic form of this sequence​

Answer 1

Given, arithmetic sequence X

n

=5n+3

a. The first term of the sequence, put n=1

X

1

=5×1+3=8

b. d=5 (coefficient of n be the common difference)

The remainder divide by 5=3.

(

5

8

=3,

5

13

=3,

5

18

=3,etc)

$Given, arithmetic sequence Xn=5n+3</h3><h3>a. The first term of the sequence, put n=1</h3><h3>X1=5×1+3=8</h3><h3></h3><h3>b. d=5 (coefficient of n be the common difference)</h3><h3>The remainder divide by 5=3.</h3><h3>(58=3,513=3,518=3,etc)</h3><h3></h3><h3>$

Answer By shreyas