Question

The sequence-5,5,15,25,show its is in ap

Answer 1

Answer:

yes it is in a.p

Step-by-step explanation:

because-5,5,15,25

ans :-let S=-5,5,15,25

a=5

d=10

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Answer 2

Step-by-step explanation:

The conditions needed to show that a sequence is in A.P are -: The common difference should be same between each term of the sequence and if possible then check the value if the last term by the formula a+(n-1)d=an.

Sequence=-5,5,15,25.

d1=a2-a1=5-(-5)=5+6=10

d2=a3-a2=15-5=10

d3=a4-a3=25-15=10.

Hence d1=d2=d3.

a=(-5),d=10,n=4

(-5)+(4-1)10=(-5)+30=25=an.

Hence this sequence is in A. P