Find the 17th term of the A.p.5.10.15.20
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Answered by
11
▶AP (arithmetic progression) = 5 , 10 , 15 , 20 .....
a ( first term) = 5
d ( common difference) = t2 - t1 = 10 - 5 = 5
▶In an arithmetic progression the common difference between two consecutive terms are equal
The formula for nth term of an AP is,
★ tn = a + ( n - 1 ) d
we have to find out 17th term,
t17 = 5 + ( 17 - 1 ) 5
= 5 + (16 x 5 )
= 5 + 80
= 85
Therefor the 17th term of an AP is 85
Answered by
5
GIVEN :
AP = 5, 10, 15, 20
First term of an AP = a = 5
Common Difference = a2 - a1 = 10 - 5 = 5
17th term of an AP = ?
We know that,
17th term of an AP = a + 16d
a17 = a + 16d
a17 = (5) + 16(5)
a17 = 5 + 80
a17 = 85
Therefore, the 17th term of an AP is 85.
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