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