a=12 an=20 n=5 d=?
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Given :
Last term, an = 20
First term, a = 12
Nth term, n = 5
To find :
Common difference, d = ?
Solution :
We know that,
» A sequence in which each term differs from its preceding term by a constant is called an arithmetic progression, known as AP.
Formula : aₙ = a + (n - 1) × d
Here,
- aₙ = Last term
- a = First term
- n = nth term
- d = Common difference.
By Substituting all the given values in the formula,
➙ 20 = 12 + (5 - 1) × d
➙ 20 = 12 + 4 × d
➙ 20 - 12 = 4 × d
➙ 8 = 4 × d
➙ 8 = 4d
➙ d = 8/4
➙ d = 2
Thus, the common difference of an AP is 2
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