Question

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Answer 1

Step-by-step explanation:

Given:-

2,3,5,7,8,10,15,...

To find:-

Is 2,3,5,7,8,10,15,... an Arithmetic Progression? Why?

Solution:-

Given list of numbers = 2,3,5,7,8,10,15,...

First term = 2

Common difference =

t2-t1 = 3-2 = 1

t3-t2 = 5-3 = 2

t4-t3 = 7-5 =2

t5-t4 = 8-7=1

t6-t5 = 10-8 = 2

t7-t6 = 15-10=5

We observe that The common difference is not same throughout the series.

If the common difference is same throughout the series then the series is in the AP.

But given series is not in the AP.

Reason : Common difference is not same.

Answer:-

2,3,5,7,8,10,15,... are not in the AP

Used Concept:-

If the common difference is same throughout the series then the series is in the AP.

Answer 2

Step-by-step explanation:

2,3,5,7 8,10 ,15

are not in the arithmetic progression

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