A car is traveling at 35 mph. If its tires have a diameter of 27 inches, how fast are the car's tires turning? Express the answe
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Remainder Theorem says that if there is any Polynomial equation P(x), which is to be divided by (x - a) then remainder can be calculated by substituting value of a in equation P(x).
= P(x) divided by
Step 1: Find a
To find a we will have to convert (x+2) into (x - a) form
i.e. (x+2) = (x - (-2))
therefore, a = -2
Step 2: Substitute value of a in P(x),
By substitution we get,
=
=
= = Remainder
Hence, Remainder is 55.
The first four terms of sequence is 20, -10, -40, -70
<em><u>Solution:</u></em>
Given that we have to find the first four terms of sequence
<em><u>Given recursive formula is:</u></em>
<em><u>To find the first term, substitute n = 1</u></em>
Thus the first term of sequence is 20
<em><u>To find the second term, substitute n = 2</u></em>
Thus the second term of sequence is -10
<em><u>To find the third term, substitute n = 3</u></em>
Thus the third term of sequence is -40
<em><u>To find the fourth term, substitute n = 4</u></em>
Thus the first four terms of sequence is 20, -10, -40, -70