Question

The 41st term of an A.P excceds 19th term by 154 find the first term & common difference​

Answer 1

Step-by-step explanation:

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Answer 2

Given :-

The 41st term of an A.P excceds 19th term by 154

To Find :-

First term

Common Difference

Solution :-

We know that

aₙ = a + (n - 1)d

For 41st term

a₄₁ = a + (41 - 1)d

a₄₁ = a + 40d (i)

For 19th term

a₁₉ = a + (19 - 1)d

a₁₉ = a + 18d (ii)

On subtracting 1 and 2

a + 40d - a - 18d = 154

40d - 18d = 154

22d = 154

d = 154/22

d = 7

Now