Q. 83.6( 5 Votes )

# The sum of the fi

Answer :

S_{10} = 350

S_{5} = 100

S_{n} =

When n = 10,

S_{10} = 350 =

∴ 2a + 9d = 70 …(eq)1

S_{5} = 100 =

∴ a + 2d = 20 …(eq)2

Solving equations 1 and 2…

d = 6

a = 8

Hence, the sequence is 8,14,20…

**a _{n}** = a + (n-1)×d = 8 + (n-1)×6 =

**6n + 2**

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