Question

The first three terms of an arithmetic progression (A. P.) are 1, 9, 17, then the next two terms are​

Answer 1

Answer:

25,33

Step-by-step explanation:

Difference =8

Last term=17

So,17+8=25

25+8=33

Answer 2

SOLUTION

GIVEN

The first three terms of an arithmetic progression (A. P.) are 1, 9, 17

TO DETERMINE

The next two terms

CONCEPT TO BE IMPLEMENTED

If in an arithmetic progression

First term = a

Common difference = d

Then nth term of the AP

= a + ( n - 1 )d

EVALUATION

Here the given progression is

1 , 9 , 17 , . . .

This is an arithmetic progression

First term = a = 1

2nd term = 9

3rd term = 17

Common Difference = d = 9 - 1 = 8

4th term

= 3rd term + common difference

= 17 + 8

= 25

5th term

= 4th term + common difference

= 25 + 8

= 33

FINAL ANSWER

The next two terms are 25 , 33

━━━━━━━━━━━━━━━━

Learn more from Brainly :-

$1.$ find the 100th term of an AP whose nth term is 3n+1

https://brainly.in/question/22293445

2. 2,7,12,17,...sum of 12 terms of this A. P. is

https://brainly.in/question/24134044