Summation of 3n + 2 from n = 1 to n = 14 = (3(1) + 2) + (3(2) + 2) + (3(3) + 2) + . . . + (3(14) + 2) = 5 + 8 + 11 + ... + 44 ia an arithmetic progression with first term (a) = 5, common difference (d) = 3 and last term (l) = 44 and n = 14
Sn = n/2(a + l) = 14/2(5 + 44) = 7(49) = 343
Therefore, the required summation is 343.
The earth is 93 million miles away from the sun. 93 million times 10 is 930,000,000 away. Mars is currently 141.6 million miles from the sun. Assuming the planets were in a straight line you would subtract from 141.6 million miles the 93 million miles so that would put us within 48,600,000 miles of Mars. So the answer is we would be closest to Mars.
Step-by-step explanation:
∛9 × ∛-24
∛-216
∛(-6)³
-6
√(8y⁵) √(40y²)
√(320y⁷)
√(64y⁶ × 5y)
8y³√(5y)
Answer:
<u>11t² + 7t + 3</u>
Step-by-step explanation:
⇒ (5t² + 4) - (6t² - 7t + 1)
⇒ 5t² + 4 - 6t² + 7t - 1
⇒ <u>11t² + 7t + 3</u>