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posledela
2 years ago
7

Someone please walk me through how to solve this LOL THANKS

Mathematics
1 answer:
ch4aika [34]2 years ago
8 0

Answer:

ok it would be the answer on the bottom right which is x^{4} \sqrt[7]{x^{6} }

Step-by-step explanation:

So basically you just divide 34 by 7 to see how many times 7 goes into 34 which is 4 times. 7 times 4 gives you 28 and now you need to find the remainder, which is what's left inside the square root symbol. You put the x to the 4th power outside. So subtract 28 from 34 and that gives you 6 so you're left with x to the power of 6th inside the square root.

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Answer:

1. The given series is

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For n=1

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So, for n=1,

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Since the given expression is true for n=1 ,

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2.

12+42+72+.......+(3 n -2)2=\frac{n(6 n²-3 n- 1)}{2}

For n=1,

L.H.S=12

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As L.H.S≠ R.H.S

We should Replace R.H.S by [(3 n-1)(3 n-2)]2

3.The given sequence is

2+4+6+....+2n=n(n+1)

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P(1)=2

R.H.S

1×(1+1)

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( b)  L.H.S

P(n)=2+4+6+.....2 k

This is an A.P having n terms.

S_{n}=[tex]\frac{n}{2}\times\text{[first term + last term]}

tex]S_{n}=\frac{n}{2}\text [{2+2n}]

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This is an A.P having (k+1) terms.

S_(k+1)=\frac{k+1}{2}[2+2k+2]

               =(k+1)(k+2)

So, P(k+1)= (k+1)(k+2)

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