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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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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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1 Answer

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Best answer

Let the a be first term and d be common difference

As we know

an = a + (n - 1)d

Given,

a7 = a11 - 24

a + 6d = a + 10d - 24

10d - 6d = 24

4d = 24

d = 6

given a = 12

then, a20 = a + 19d

a20 = 12 + 19(6)

= 12 + 114

= 126

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