<u>Answer:</u>
<u>Step-by-step </u><u>Explanation</u><u>:</u>
The sequence is following some rule. And the rule is: Multiplying the term with 4 to get the next term. Like:
Similarly, the next terms are:
The terms are <u>6</u><u>4</u><u>,</u><u> </u><u>2</u><u>5</u><u>6</u><u>,</u><u> </u><u>1</u><u>0</u><u>2</u><u>4</u> which matches with Option D. And that's the correct answer
Answer:
a = p * q
b = p * s + q * r
c = r * s
Step-by-step explanation:
In the trinomial ax² + bx + c
a is the coefficient of x²
b is the coefficient of x
c is the numerical term
∵ The trinomial is ax² + bx + c
∵ Its factors are (px + r) and (qx + s)
∴ ax² + bx + c = (px + r)(qx + s)
∵ (px + r)(qx + s) = (px)(qx) + (px)(s) + r(qx) + (r)(s)
∴ (px + r)(qx + s) = pqx² + (psx + qrx) + rs
∴ ax² + bx + c = pqx² + (ps + qr)x + rs
→ By comparing the two sides
∵ ax² = pqx² ⇒ divide both sides by x²
∴ a = pq
∵ bx = (ps + qr)x ⇒ Divide both sides by x
∴ b = ps + qr
∴ c = rs
∴ a = p * q
∴ b = p * s + q * r
∴ c = r * s
Answer is 160
explanation: add all of them up and divid by how many numbers are in the data set
74+81+77+88=320
then divid 320 by 4 =160