6n-5 n-1 -1-5n-5 n-1 -n C0-n C1 5-n C2 52- - -n Cn 5n-5 n-1 -1-5 n-n C2 52-n Cn 5n-5 n-1Which of the foll -52n C2-n Cn 5n-2 -25n C2- - -n Cn 5n-2-25 d- where d-n C2- - -n Cn 5n-2 - 6n-5 n-1 is divisibleby 25

The correct option is D 6n – 5n 1 ...

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Byju's Answer

Standard VIII

Mathematics

Factors of natural numbers

6n-5 n-1 =1+...

Question

Which of the following is divisible by 25:

6ⁿ – 5n

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6ⁿ – 5n + 1

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6ⁿ + 5n

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6ⁿ – 5n - 1

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Solution

The correct option is D
6ⁿ – 5n - 1

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Similar questions

Q. There are

6

boxes labelled

B_{1}, B_{2}, . . . ., B_{6} .

In each trial, two fair dice

D_{1}, D_{2}

are thrown. If

D_{1}

shows

j

and

D_{2}

shows

k

, then

j

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$\frac{5^{n + 2} - 6 \times 5^{n + 1}}{13 \times 5^{n} - 2 \times 5^{n + 1}} i s e q u a l t o$

\frac{5^{n + 2} - 6 \times 5^{n + 1}}{13 \times 5^{n} - 2 \times 5^{n + 1}}

is equal to

(a)

\frac{5}{3}

(b)

- \frac{5}{3}

(c)

\frac{3}{5}

(d)

- \frac{3}{5}

Q. On simplification, the expression

\frac{5^{n + 2} - 6 \times 5^{n + 1}}{13 \times 5^{n} - 2 \times 5^{n + 1}}

equals
(a)

\frac{5}{3}

(b)

- \frac{5}{3}

(c)

\frac{3}{5}

(d)

- \frac{3}{5}

Q. Simplify

\frac{5^{n + 3} - 6 \times 5^{n + 1}}{9 \times 5^{n} - 5^{n} \times 2^{2}}

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Which of the following is divisible by 25:

The correct option is D 6n – 5n - 1

The correct option is D
6ⁿ – 5n - 1