Question

The list of numbers-10,-6,-2,2,.. is (a) an AP with d=-16,(b) an AP with d=4,(c) an AP with d=-4,(d) not an AP​

Answer 1

$d = - 6 - ( - 10) \\ d = - 6 + 10 \\ d = 4$

Then,

Optin A) is correct ✔️ ✔️

HOPE that it will help you ✌️ ✌️

Answer 2

Answer:

The list of numbers -10, -6, -2, 2, ... is an AP with d=4.

Step-by-step explanation:

• The full form of AP is Arithmetic Progression.
• A series of numbers are in AP means the numbers are in sequence such that the difference between two consecutive numbers is constant.
• Example:
• Let us consider a series of numbers 5, 7, 9, 11, 13.
• in this series, the difference between any two consecutive terms is constant i.e. 2.
• This means this series of numbers are in AP .
• In AP, the 1st number or term is denoted by "a" and the difference between the two consecutive numbers is "d".

In given question, the list of numbers is -10, -6, -2, 2,....

The first term or a= -10 .

The difference between the two consecutive terms= -6-(-10)=-6+10=4

-2-(-6) = -2+6= 4

2-(-2)= 2+2= 4

So the difference between the consecutive numbers is constant ie. 4 .

So, d=4

Conclusion:

The list of numbers-10,-6,-2,2,.. is an AP with d=4.