Question

State the Proof of the formula for the nth term of an ap(arithmetic progression)

Answer 1

L=a+(n-1)d
THREE CONSECUTIVE TERM OF AP ARE m-d,m,m+d

Answer 2

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