Proof of the formula for nth term of ap.
Share
Proof of the formula for nth term of ap.
Sign Up to our social questions and Answers Engine to ask questions, answer people’s questions, and connect with other people.
Login to our social questions & Answers Engine to ask questions answer people’s questions & connect with other people.
Answer:
Formula for the nth term of an A.P. :
tn = a + ( n - 1 ) d
Step - by - step explanation:
Generally, in the A. P. t1, t2, t3,...... if the first term is 'a' and the common difference is 'd',
t1 = a
t2 = t1 + d = a + d = a + ( 2 - 1 ) d
t3 = t2 + d = a + d + d = a + 2d = a + ( 3 - 1 ) d
t4 = t3 + d = a + 2d + d = a + 3d = a + ( 4 - 1 ) d
∴ we get the formula
tn = a + ( n - 1 ) d