Find the second term and nth term of an A.P. whose 6th term is 12 and

1.	Find the second term and nth term of an A.P. whose 6th term is 12 and the 8th term is 22.
Answer» a₆ = a + 5d 12 = a + 5d …(i) a₈= a + 7d 22 = a + 7d …(ii) Subtracting (i) from (ii), we get, 10 = 2d d = 5 from (i) 12 = a + 5(5) 12 = a + 25 a = -13 a₂ = a +d = -13 +5 = - 8 a_n = a + (n -1)d = - 13 + (n - 1)5 = -18 + 5n

Find the second term and nth term of an A.P. whose 6th term is 12 and the 8th term is 22.

Answer»

a₆ = a + 5d

12 = a + 5d …(i)

a₈= a + 7d

22 = a + 7d …(ii)

Subtracting (i) from (ii), we get,

10 = 2d

d = 5

from (i)

12 = a + 5(5)

12 = a + 25

a = -13

a₂ = a +d

= -13 +5

= - 8

a_n = a + (n -1)d

= - 13 + (n - 1)5

= -18 + 5n