Determine 2nd term and rth term of a. p.whose 6 th term is 12 and 8 th term is 22

see explanation

Step-by-step explanation:

The n th term of an arithmetic progression is

= a₁ + (n - 1)d

where a₁ is the first term and d the common difference

Given = 12 and = 22, then

a₁ + 5d = 12 → (1)

a₁ + 7d = 22 → (2)

Subtract (1) from (2) term by term to eliminate a₁

2d = 10 ( divide both sides by 2 )

d = 5

Substitute d = 5 into (1) to find a₁

a₁ + 5(5) = 12

a₁ + 25 = 12 ( subtract 25 from both sides )

a₁ = - 13

Thus

= - 13 + 5 = - 8

= - 13 + 5(n - 1) = - 13 + 5n - 5 = 5n - 18 ← n th term

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step-by-step explanation: