Let a n - k-0 n 1- 2 k C k- then which of the following equals an-1

The correct option is A 5 a _ n 6 a _ n 1 ∑ _k=0 ^n(1+2^k)C_k =∑ C_k+∑ 2^kC_k =2^n+(1+2)^n a_n=2^n+3^n a_n+1=2^n+1+3^n+1 =( ...

You visited us 1 times! Enjoying our articles? Unlock Full Access!

Greatest Binomial Coefficients

Let a n =∑ ...

Question

Let $a_{n} = \sum_{k = 0}^{n} (1 + 2^{k}) C_{k}$ , then which of the following equals $a_{n + 1}$

5 a_{n} - 6 a_{n - 1}

Right on! Give the BNAT exam to get a 100% scholarship for BYJUS courses

5 a_{n} + 6 a_{n}

No worries! We‘ve got your back. Try BYJU‘S free classes today!

2 a_{n} + 3 a_{n - 1}

No worries! We‘ve got your back. Try BYJU‘S free classes today!

none of these

No worries! We‘ve got your back. Try BYJU‘S free classes today!

Open in App

Solution

Suggest Corrections

Similar questions

a_{k} > 0 \forall k \geq 1 a n d a_{1}, a_{2}, a_{3} . . .

Δ_{n} = 0 \forall n \geq 1

a_{1}, a_{2}, a_{3} . . .

Δ_{n} = 0 \forall n \geq 1

n \geq 4

a_{n} = n \sum j = 1 n \sum k = j (\begin{matrix} n k \end{matrix}) (\begin{matrix} k j \end{matrix})

b_{n} = a_{n} + 2^{n + 1}

b_{n + 1} = 5 b_{n} - 6 b_{n - 1}

n \geq 2

a_{n} = 5 a_{n} - 6 a_{n}

n \geq 2

Let {a_{n}} be a sequence such that a_{0} = 1, a_{1} = 0, a_{n} = 3 a_{n - 1} - 2 a_{n - 2} . Then, which of the following is a correct statement?

Let {a_{n}} be a sequence such that a_{0} = 1, a_{1} = 0, a_{n} = 3 a_{n - 1} - 2 a_{n - 2} . Then, which of the following is a correct statement?

a_{1} = 1

a_{n + 1} = \frac{4 + 3 a_{n}}{3 + 2 a_{n}}, n \geq 1

lim n \to \infty a_{n} = n

Join BYJU'S Learning Program