PLEASE HELP ME! ANSWER THE QUESTION BELOW PLEASE AND THANKYOU I WILL MARK BRAINLIEST FOR BEST ANSWER!! also please write it like
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Answer:
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Step-by-step explanation:
Simplifying the numerator :
⇒ (-5m⁷n⁰p⁵)(2m⁴n³p²)³
⇒ (-5m⁷p⁵)(8m¹²n⁹p⁶)
⇒ (-5)(8)(m)⁷⁺¹²n⁹(p)⁵⁺⁶
⇒ <u>-40m¹⁹n⁹p¹¹</u>
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Dividing by the denominator :
⇒
⇒
Notice that
13 - 9 = 4
17 - 13 = 4
so it's likely that each pair of consecutive terms in the sum differ by 4. This means the last term, 149, is equal to 9 plus some multiple of 4 :
149 = 9 + 4k
140 = 4k
k = 140/4
k = 35
This tells you there are 35 + 1 = 36 terms in the sum (since the first term is 9 plus 0 times 4, and the last term is 9 plus 35 times 4). Among the given options, only the first choice contains the same amount of terms.
Put another way, we have
but if we make the sum start at k = 1, we need to replace every instance of k with k - 1, and accordingly adjust the upper limit in the sum.