Question

If 5^th and 6^th terms of an A.P are respectively 6 and 5. Find the 11^th term of the A.P

Answer 1

Here is the full and step-by-step explanation of your query:-

Given that :- 5th term = 6

6th term = 5

Therefore, a5 = 6 and

a6 = 5

a + 4d = 6. ----------------- (i)

a + 5d = 5 ------------------(ii)

Subtracting (ii) from (i)

By elimination method

= a + 4d = 6

-a - 5d = -5

—————————

-d = 1

—————————

Therefore d = -1

Putting value of {d} in (i)

a + 4×-1 = 6

a - 4 = 6

a = 6+4

a=10

Now 11th will be

a11 = a + 10d

a11 = 10 + 10×-1

a11 = 10-10

Therefore a11 = 0 Ans

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