Question

write 100 term of A. P 2,2,2..​

Answer 1

Step-by-step explanation:

A. P 2,2,2..

a=2, a2=2 ,d=a2-a1=2-2=0,n=100

an=a+(n-1)d

a100=2+(100-1)0

a100=2+0

a100=2

100th term of AP is 2.

Answer 2

Answer:

Required Answer:-

2,2,2,2........(which is in A.P.)

t1=a=2, t2=2, t3=2, t4=2

common difference(d)= t2-t1=2-2=0

To find:- value of 100th term(t100=?)

solution:-

tn=a+(n-1)d

t100=2+(100-1)0

t100=2+(99x0)

t100=2+0

t100=2

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Final Answer:-

Therefore, value of 100th term is 2

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extra knowledge:-

As per the concept of Arithmetic progression, a is the first term of A.P. followed by t2,t3,t4 and so on.

t2 = second term

t3 = third term

t4 = fourth term

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tn is the last term of an A.P. and 'n' is the number of terms in an A.P.

'd' is the difference between two terms and which is always constant, if difference between two terms is not constant than the sequence is not in A.P.

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Now, Lets have a look on some formulae in A.P.

i) to find the difference between two terms,

d=t2-t1

ii) to find the next term of an A.P.,

let assume t3 as next term of A.P.

t3=t2+d

iii) formula to find last term,

tn=a+(n-1)d

iv) formula to find the sum of nth term,

Sn=n/2x[2a+(n-1)d]

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hope it help you.