The sequence to these: n^2+3 and 2n^2

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Step-by-step explanation:

To find the first 4 terms and the 10 th term

Substitute n = 1, 2, 3, 4 and n = 10 into the n th term rule

(a)

a₁ = 1² + 3 = 1 + 3 = 4

a₂ = 2² + 3 = 4 + 3 = 7

a₃ = 3² + 3 = 9 + 3 = 12

a₄ = 4² + 3 = 16 + 3 = 19

a₁₀ = 10² + 3 = 100 + 3 = 103

Thus terms are 4, 7, 12, 19 , , 103

(b)

a₁ = 2(1)² = 2(1) = 2

a₂ = 2(2)² = 2(4) = 8

a₃ = 2(3)² = 2(9) = 18

a₄ = 2(4)² = 2(16) = 32

a₁₀ = 2(10)² = 2(100) = 200

Thus terms are 2, 8, 18, 32 . , 200

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