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3 years ago

Find the value of 3/4 + 1/5 cannnnnn anyone helppp!???

Mathematics

2 answers:

Oxana [17]3 years ago

8 0

Value of 3/4 + 1/5 is 19/20.

Do you need the steps?

First, calculate the LCM of the denominators (4 and 5) which is 20.

Now, divide 20 by 4 and 5 and multiply the quotient with the numerator.

(5×3) + (4×1)

=> 15+4

=> 19/20

Hope it helps!

Please mark as brainliest :D

Artyom0805 [142]3 years ago

6 0

Answer:

19/20

Step-by-step explanation:

3/4+1/5=15/20+4/20=19/20 or 0.95

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You can try to show this by induction:

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and

$S_k=3\times2^{k-1}+2(-1)^k$

We want to then use this assumption to show the closed form is correct for n = k + 1, or

$S_{k+1}=3\times2^{(k+1)-1}+2(-1)^{k+1}=3\times2^k+2(-1)^{k+1}$

From the given recurrence, we know

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$S_{k+1}=3\times2^{k-1}+2(-1)^k + 3\times2^{k-1}+4(-1)^{k-1}$

$S_{k+1}=2\times3\times2^{k-1}+(-1)^k\left(2+4(-1)^{-1}\right)$

$S_{k+1}=3\times2^k-2(-1)^k$

$S_{k+1}=3\times2^k+2(-1)(-1)^k$

$\boxed{S_{k+1}=3\times2^k+2(-1)^{k+1}}$

which is what we needed. QED

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