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emmainna [20.7K]
3 years ago
9

Solve this question and help save my life!

Mathematics
1 answer:
vlada-n [284]3 years ago
7 0

The next two term is 13 and 16 respectively.

Step-by-step explanation:

here,

a1 = -2

a2 = 1

a3 = 4

a4 = 7

a5 = 10

So, d = <u>a2 - a1</u> = 1 - (-2) = 3

= <u>a3 - a2</u> = 4 - 1 = 3

Here, <u>Common difference</u> is <u>same everywhere</u> and the value of d is 3

Then,

<em>To find 6th term of this sequence</em>

<u>a6 = a5 + d</u>

= 10 + 3

a6 = 13

<em>To find </em><em>7</em><em>t</em><em>h term of this sequence</em>

<u>a7 = a6 + d</u>

= 13 + 3

a7 = 16

Thus, The next two term is 13 and 16 respectively.

-<u>T</u><u>h</u><u>e</u><u>U</u><u>n</u><u>k</u><u>n</u><u>o</u><u>w</u><u>n</u><u>S</u><u>c</u><u>i</u><u>e</u><u>n</u><u>t</u><u>i</u><u>s</u><u>t</u>

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_____

<em>Comment on using a calculator</em>

If you use the ATAN2( ) function of a graphing calculator or spreadsheet, it will give you the angle in the proper quadrant. If you use the arctangent function (tan⁻¹) of a typical scientific calculator, it will give you a 4th-quadrant angle when the ratio is negative. You must recognize that the desired 2nd-quadrant angle is 180° more than that.

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It may help you to consider looking at the "reference angle." In this geometry, it is the angle between the vector v and the -x axis. The coordinates tell you the lengths of the sides of the triangle vector v forms with the -x axis and a vertical line from that axis to the tip of the vector. Then the trig ratio you're interested in is ...

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