find 20th term of AP whose first term is 10 and common difference is 3
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Given:
First term of AP = a = 10
Common difference of AP = d = 3
To Find:
The 20th term of the AP
Solution:
AP represents the set of numbers in which the difference between any two consecutive numbers is always the same.
Now, a = 10,d = 3, and n=20
Using the formula to calculate AP -
an = a + ( n-1)d
Substituting the values -
a20 = 10 + ( 20 - 1)3
Solving -
= 10 + 19 x 3
= 10 + 57
= 67
Answer: The 20th term of AP is 67.
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