Question

1. The list of numbers -8,-5, -2, 1 is: ) Not an A.P. (ii) An A.P. with d = 3 ii) An A. P. with d = -3 (iv) An A.P. with d = –13​

Answer 1

Solution:

Sequence => -8, -5, -2, 1

An AP(Arithmetic Progression) is having a sequence of numbers which is having a constant difference from the previous quantity.

Difference means second minus the first.

Let's see the difference between each term in AP,

-8, -5, -2, 1

Difference between =>

-5 - (-8) = 3

-2 - (-5) = 3

1 - (-2) = 3 and so on.

(ii) An A. P. with d = 3 is the correct answer.

The difference between each term is of 3.

Extra Information:

To know the particular place term in AP use this formula,

aₙ = a₁ + (n-1)d

To know the sum of series of particular range in AP,

Sₙ = n(a₁ + aₙ)/2

a₁ means the first term.

aₙ means last term.

Answer 2

SOLUTION

TO CHOOSE THE CORRECT OPTION

The list of numbers -8,-5, -2, 1 is:

i) Not an A.P.

(ii) An A.P. with d = 3

iii) An A. P. with d = -3

(iv) An A.P. with d = –13

EVALUATION

Here the given list of numbers are -8,-5, -2, 1

1st term = - 8

2nd term = - 5

3rd term = - 2

4th term = 1

Thus we see that

2nd term - 1st term = 3rd term - 2nd term = 4th term - 3rd term = 3

Thus common difference exists

Common Difference = d = 3

So the given numbers are in AP with d = 3

FINAL ANSWER

Hence the correct option is

(ii) An A.P. with d = 3

━━━━━━━━━━━━━━━━

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