Math, asked by bhumikaasri, 1 year ago

10th term of A.P 10,20,30,40............100 is

Answers

Answered by LeonardEuler
4

Hello !!

For you answer this question, you only need make use of this method below. See the resolution.

Common difference.

d = (An - Ak)/(n - k)

d = (20 - 10)/(2 - 1)

d = (10)/(1)

d = 10

Now, you find the number of terms.

An = Ak + (n - k) × d

100 = 10 + (n - 1) × 10

100 = 10 + 10n - 10

100 = 10n - 10 + 10

100 = 10n

10n = 100

n = 100/10

n = 10

The 10th term of this sequence.

An = Ak + (n - k) × d

A10 = 10 + (10 - 1) × 10

A10 = 10 + 9 × 10

A10 = 10 + 90

A10 = 100

Final result : this sequence has 10 terms and the 10th term is 100.

I hope I have collaborated !

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