S10 = 350S5 = 100Sn = When n = 10,S10 = 350 = ∴ 2a + 9d = 70 …(eq)1S5 = 100 = ∴ a + 2d = 20 …(eq)2Solving equations 1 and 2…d = 6a = 8Hence, the sequence is 8,14,20…an = a + (n-1)×d = 8 + (n-1)×6 = 6n + 2

Q. 83.6( 5 Votes )

The sum of the fi

Class 10th Kerala Board Mathematics Part-1 1. Arithmetic Sequences

Answer :

S₁₀ = 350

S₅ = 100

S_n =

When n = 10,

S₁₀ = 350 =

∴ 2a + 9d = 70 …(eq)1

S₅ = 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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