find the value of the
Answers
Answer:
5n+2-5n+1/5n+3
5n(1+2)-(1+1)/5n+3
5n(3-2)/5n+3
5n×1/5n+3
Explanation-
5
n+3
5
n+2
−5
n+1
_________________________________
\rm \implies\dfrac{5^{n+2}-5^{n+1}}{5^{n+3}}⟹
5
n+3
5
n+2
−5
n+1
\rm \implies\dfrac{5^{n} \times 5^2-5^{n} \times 5}{5^{n} \times 5^3}\qquad\qquad ...[ since, \ a^{m+n} = a^m \times a^n]⟹
5
n
×5
3
5
n
×5
2
−5
n
×5
...[since, a
m+n
=a
m
×a
n
]
\rm Let \ 5^n = aLet 5
n
=a
\rm \implies\dfrac{a \times 5^2-a \times 5}{a \times 5^3}⟹
a×5
3
a×5
2
−a×5
\rm \implies\dfrac{a \times 25-a \times 5}{a \times 125}⟹
a×125
a×25−a×5
\rm \implies\dfrac{25a-5a}{125a}⟹
125a
25a−5a
\rm \implies\dfrac{20a}{125a}⟹
125a
20a
\rm \implies\dfrac{4a}{25a}⟹
25a
4a
a will get cancelled.
\rm \implies\dfrac{4}{25}⟹
25
4
Answer:- 4/25
Step-by-step explanation:
Hope this will help.. Please mark me the brainliest if you like the answer.. Thank you dear