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snow_tiger [21]
3 years ago
15

Someone please help this is on a test

Mathematics
2 answers:
ElenaW [278]3 years ago
8 0

Answer:

The angle 7 is equal to angle 1. They are vertically opposite angles.

Dmitry [639]3 years ago
5 0

Answer:

angle 7 is equal to angle 1

Step-by-step explanation:

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Draw a number line to divide 70 ÷5 =​
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Answer:

14

Step-by-step explanation:

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First draw a number line from zero to the dividend.

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If k‐th term of a sequence is ak = ( -1) ^k(2-k)k/2k-1
max2010maxim [7]

Given:

kth term of a sequence is

a_k=\dfrac{(-1)^k(2-k)k}{2k-1}

To find:

The next term a_{k+1} when k is even.

Solution:

We have,

a_k=\dfrac{(-1)^k(2-k)k}{2k-1}

Put k=k+1, to get the next term.

a_{k+1}=\dfrac{(-1)^{k+1}(2-(k+1))(k+1)}{2(k+1)-1}

If k is even, then k+1 must be odd and odd power of -1 gives -1.

a_{k+1}=\dfrac{(-1)(2-k-1)(k+1)}{2k+2-1}

a_{k+1}=\dfrac{(-1)(1-k)(1+k)}{2k+1}

a_{k+1}=-\dfrac{1^2-k^2}{2k+1}    [\because (a-b)(a+b)=a^2-b^2]

a_{k+1}=-\dfrac{1-k^2}{2k+1}

Therefore, the next term is a_{k+1}=-\dfrac{1-k^2}{2k+1}.

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3 years ago
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