Question

first tearm a =5 and common difference d=6,then find the corresponding A.P ​

Answer 1

Answer:

Given: First term a is 3/4 and common difference d is 1/2.

To find: The corresponding Arithmetic Progression.

Solution:

So we have provided with first term and common difference.

The terms in Arithmetic progression are as follows:

              a, a + d, a + 2d, a + 3d ......................

So putting values in the series, we get:

              3/4, 3/4 + 1/2, 3/4 + 2(1/2), 3/4 + 3(1/2) ......................

              3/4, 10/8, 7/4, 18/8, ................

Simplifying the terms, we get:

              3/4, 5/4, 7/4, 9/4, .................

Answer:

          So the terms of AP are 3/4, 5/4, 7/4, 9/4, .................

Answer 2

Step-by-step explanation:

We have been given ,

The first term of the AP

a = 5

And , common difference , d = 6

We know that , a n = a + ( n - 1 ) d

Thus , the second term = a + d = 5 + 6 = 11

The third term = a + 2d = 5 + 2×6 = 5 + 12 = 17

The fourth term = a + 3d = 5 + 3 ×6 = 5 + 18 = 23

The fifth term = a + 4 d = 5 + 4 × 6 = 5 + 24 = 29

Arithmetic Progression →

a 1 , a 2 , a 3 , a 4 , a 5 .......... ..

→ 5 , 11 , 17 , 23 , 29 .............