Teaching DSSSB TGT Mock Test 2025 Engineering Mathematics Combinatorics Recurrence Relations

An explicit formula for the sequence defined by the recurrence relation b_n = 2b_n-1 + 1, with the initial condition b₁ = 7 is:

1

b_n = 2ⁿ⁺¹+ 3

2

b_n = 2ⁿ⁺² - 1

3

b_n = 3.2ⁿ + 1

4

b_n = 6.2ⁿ - 1

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