Question

Find the next two terms of the A.P , 1, 3/2 , 2 , 5/2,...

Answer 1

Answer:

7/2 and 9/2

Explanation:

uski agali ginti yahi hogi

Answer 2

The next two terms of the A.P 1, 3/2, 2, 5/2,... is 3 and $\frac{7}{2}$.

Solution:

Given that a = 1

Common difference 'd' = 2nd term - 1st term

                                           ⇒ $\frac{3}{2} -1$

                                           ⇒ $\frac{3 - 2}{2}$

                                  d = $\frac{1}{2}$

We have to find next two term i.e. 5th and 6th term.

Formula is, $a_n$ = a + (n - 1)d

                                         ⇒ $a_5$ = 1 + (5 - 1) $\frac{1}{2}$

                                         ⇒ $a_5$ =  1 + $\frac{4}{2}$

                                         ⇒ $a_5$ =  3

                              5th term = 3

Then, 6th term

Formula is, $a_n$ = a + (n - 1)d

                                         ⇒ $a_6$ = 1 + (6 - 1) $\frac{1}{2}$

                                         ⇒ $a_6$ =  1 + $\frac{5}{2}$

                                         ⇒ $a_6$ = $\frac{2 +5}{2}$

                                         ⇒ $a_6$ = $\frac{7}{2}$

                               6th term = $\frac{7}{2}$.

To know more:

Find next two terms of an AP 4,9,14,......

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