Find the 20th term of the AP whose 7th term is 24 less than the 11th term, first term being 12.

  • matematika

    Subject:

    Math
  • Author:

    ahmad
  • Created:

    1 year ago

Answers 2

Answer:

So , the 20th term of AP is 126.

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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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