Question

the difference between 3rd term and 7th term of an arithmetic sequence is 24
a) what is the common difference?
b)what is the difference between 10th term and 20th term of this sequence

​

Answer 1

Answer:

A) 6

B) 60

Step-by-step explanation:

A) 24 divided by 4 = 6

B) 10 * 6 =60

Answer 2

SOLUTION

GIVEN

The difference between 3rd term and 7th term of an arithmetic sequence is 24

a) The common difference

b) The difference between 10th term and 20th term of this sequence

EVALUATION

Let first term = a

Common Difference = d

By the given condition

( a + 6d ) - ( a + 2d ) = 24

⇒ 4d = 24

⇒ d = 6

a) The common difference = 6

b) The difference between 10th term and 20th term of this sequence

= ( a + 19d ) - ( a + 9d )

= 10d

= 10 × 6

= 60

━━━━━━━━━━━━━━━━

Learn more from Brainly :-

$1.$ If the middle term of a finite AP with 7 terms is 21 find the sum of all terms of the AP

https://brainly.in/question/30198388

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

https://brainly.in/question/22293445

3. 2,7,12,17,...sum of 12 terms of this A. P. is

https://brainly.in/question/24134044