Question

If the third term is equal to 5,,, 26th term is equal to 9 and the sum of first 18terms is equal to 58 find the first term

Answer 1

Answer:

a=123/23

Step-by-step explanation:

according to the question

1. 2d+a=5
2. 25d+a=9

now

2-1 = 25d+a=9

- 2d+a=5

23d=4

d=4/23

now d in equation 1=

2*4/23+a=5

123/23=a

hope it helps you

thank you

Answer 2

Answer:

first term,a=107/23

Step-by-step explanation:

let

first term=a

common difference=d

third term=a+2d=5

26th term=a+25d=9

By elimination,

a+2d=+5

a+25d=9

- - -

-23d=-4

d=4/23

put value of d in any eqn

a+2d=5

a+2(4/23)=5

a+8/23=5

a=5-8/23

a=107/23