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Home/p2 = 2 and for n > 2

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Srushti
Srushti
Asked: September 10, 2026In: Class 9 Maths

Suppose P1 = 1, P2 = 2 and for n > 2, Pn = P1 + P2 + ··· + Pn-1 + 1. Find the values of P1, P2, …, P8. Can you find a simpler recursive formula for Pn? Can you give an explicit formula?

Computing terms yields 1, 2, 4, 8, 16, 32, 64, 128. Since Pn – Pn-1 = Pn-1, the simpler recursive rule is Pn = 2Pn-1 for n >= 3. The explicit formula is Pn = 2ⁿ⁻¹ for n >= 2 ...

a simpler recursive formula for pnhalf yearly exam question paper – class 9 math exploring sequences and progressionsimportant questions predicting what comes next: exploring sequences and progressionsp1 = 1p2 = 2 and for n > 2pn = p1 + p2 + ··· + pn-1 + 1sample question from class 9 chapter predicting what comes next
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