The 26th, 11th and the last terms of an AP are, 0, 3 and respectively.
Find the common difference and the number of terms.
Let the first term, common difference and number of terms of an AP are a, d and n, respectively.
Let the no of terms be x
By using the nth term formula i.e. an = a + (n - 1)d
a26 = a + 25d = 0 (given)
a = - 25d (eqn 1)
a11 = a + 10d = 3 (given)
- 25d + 10d = 3 (using eqn 1)
- 15d = 3
(eqn 2)
using eqn2 and eqn1 we get
Also,
(given)
hence
Common difference = - 1/5
No of terms = 27