Question

Formula of an AP........​

Answer 1

Answer:

General Form of AP a, a + d, a + 2d, a + 3d, . . .

Nth term of AP an = a + (n – 1) × d

Sum of n terms in AP S = n/2[2a + (n − 1) × d]

Sum of all terms in a finite AP with last term as 'l' n/2(a + l)

Answer 2

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Formula of an AP

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Arithmetic progression

a_{n}=a_{1}+(n-1)d

a_n = the nᵗʰ term in the sequence

a_n = the nᵗʰ term in the sequencea_1 = the first term in the sequence

a_n = the nᵗʰ term in the sequencea_1 = the first term in the sequenced = the common difference between terms.

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FORMULAE

The arithmetic progression general form is given by a, a + d, a + 2d, a + 3d, . . .. Hence, the formula to find the nth term is:

The arithmetic progression general form is given by a, a + d, a + 2d, a + 3d, . . .. Hence, the formula to find the nth term is:an = a + (n – 1) × d

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How do you calculate arithmetic progression?

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How do you calculate arithmetic progression?An arithmetic progression is a sequence where each term is a certain number larger than the previous term. The terms in the sequence are said to increase by a common difference, d. For example: 3, 5, 7, 9, 11, is an arithmetic progression where d = 2. The nth term of this sequence is 2n + 1 .