Question

find the tn for the Ap -3, 7, 17, 27...... and then find the 30th term for AP​

Answer 1

Answer:

287

Step-by-step explanation:

Term of APs are defined by a + ( n - 1 )d, where a is first term, d is the common difference and n is the number of term.

Here,

 a = first term = - 3

 d = 7 - ( - 3 ) = 7 + 3 = 10

So,  Tn = a + ( n - 1 )d

            = - 3 + ( n - 1 )10

            = - 3 + 10n - 10

            = 10n - 13

Hence 30th term is 10( 30 ) - 13 = 300 - 13 = 287