2nd term and 8th terms of an AP are 5/8 and 17/8, find 20th term
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Actually you have given second term means....a+d and eight term means....a+ 7d
Now solve for a and d find their value
and substitute for 20th term mean a + 29d
you will get answer
I hope you understand!!!
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Answered by
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ANSWER : 20th term = 41/8
STEP BY STEP EXPLANATION :
a2 = a + d = 5/8
a8 = a + 7d = 17/8
By elimination method,
a + d = 5/8
-a+-7d = -17/8
-----------------------
-6d = -12/8
-d = -12/8 × 1/6
d = 3/2 × 1/6 = 1/4
Substituting in eq.1,
a + 1/4 = 5/8
a = 5/8 - 1/4 = 5/8 - 2/8
a = 3/8
a20 = a + 19d = 3/8 + 19(1/4)
=3/8 + 38/8 = 41/8
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STEP BY STEP EXPLANATION :
a2 = a + d = 5/8
a8 = a + 7d = 17/8
By elimination method,
a + d = 5/8
-a+-7d = -17/8
-----------------------
-6d = -12/8
-d = -12/8 × 1/6
d = 3/2 × 1/6 = 1/4
Substituting in eq.1,
a + 1/4 = 5/8
a = 5/8 - 1/4 = 5/8 - 2/8
a = 3/8
a20 = a + 19d = 3/8 + 19(1/4)
=3/8 + 38/8 = 41/8
HOPE IT WOULD HELP U
PLS MARK IT AS BRAINLIEST
Indharagit008:
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