(iii) 1, 3, 7, 15, 31, .... (1 mark)

Sol. t₁ = 1

t₂ = t₁ + 2 = 1+ 2 = 3

t₃ = t₂ + 4 = 3 + 4 = 7

t₄= t₃ + 8 = 7 + 8 = 15

t₅ = t₄ + 16 = 15 + 16 = 31

t₆ = t₅ + 32 = 31 + 32 = 63

t₇ = t₆ + 64 = 63 + 64 = 127

t₈ = t₇ + 128 = 127 + 128 = 255

t₉ = t₈ + 256 = 255 + 256 = 511

∴ The next four terms of the sequence are 63, 127, 255 and 511.

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AI (ै) - AI ki Matra | ऐ (ै)की मात्रा
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