Find the 20th term of the AP whose 7th term is 24 less than the 11th term, first term
being 12.
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Answered by
1
Answer:
So , the 20th term of AP is 126.
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Answered by
1
Answer:
20th term of the AP is 126 .
Step-by-step explanation:
The general form of an Arithmetic Progression is a, a + d, a + 2d, a + 3d and so on. Thus nth term of an AP series is Tn = a + (n - 1) d, where Tn = nth term and a = first term. Here d = common difference = Tn - Tn-1. The sum of n terms is also equal to the formula where l is the last term.
Given us ,a = 12
According to question,
11th term of the AP = a + 10 d
7th term of the AP = a + 6d
then,
a + 10 d- ( a + 6d) = 24
a + 10 d - a - 6d= 24
4d= 24
d= 6
20th term of the AP = a + 19d
= 12 +19.6
=12+ 114
= 126
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