Given: The sum of first n terms.To Find: The rth term.Let the first term be a and common difference be dPut n = 1 to get the first terma = S1 = 3 + 2 = 5Put n = 2 to get a + (a + d)2a + d = 12 + 4 = 1610 + d = 16d = 6tr = a + (r - 1)dt �r = 5 + (r - 1)6 = 5 + 6r - 6 = 6r - 1The rth term is given by 6r - 1.

Q. 113.8( 4 Votes )

Find the r^th

Class 11th RS Aggarwal - Mathematics 11. Arithmetic Progression

Answer :

Given: The sum of first n terms.

To Find: The r^th term.

Let the first term be a and common difference be d

Put n = 1 to get the first term
a = S₁ = 3 + 2 = 5
Put n = 2 to get a + (a + d)
2a + d = 12 + 4 = 16
10 + d = 16
d = 6
t_r = a + (r - 1)d
t �_r = 5 + (r - 1)6 = 5 + 6r - 6 = 6r - 1

The r^th term is given by 6r - 1.

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