Question

The 5th term of an Ap is 25. The 100th term
is 500. Find the 44th term?​

Answer 1

Answer:

220

Step-by-step explanation:

Formula of AP is

nth term = a + (n-1)d

So, 25 = a + 4d

500 = a + 99d

solving, the above equations, we get

a = 5

d = 5

So, 44th term will be 5 + 43*5 = 220

Answer 2

Answer:

220

Step-by-step explanation:

Let the first term be "a' and common difference be 'd'.

5th term = 25 → a + 4d = 25

=> a = 25 - 4d ... (1)

100th term = 500 → a + 99d = 500

=> (25 - 4d) + 99d = 500 {from (1)}

=> 99d - 4d = 500 - 25

=> 95d = 475

=> d = 5

Thus,

a = 25 - 4(5) = 25 - 20

= 5

Hence,

44th term = a + 43d

= 5 + 43(5)

= 220