Answer:
the answer and explanation is in the picture
Step-by-step explanation:
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Answer: -630
Step-by-step explanation:
Given the nth term of a sequence;
a(n)=a(n−1)⋅(−9) and the first term of the sequence a(1) as 35, the third term of the sequence can be gotten by using the formula at when n = 3
If n = 3 and a(1) = 35;
a(3) = 35(3-1)•(-9)
a(3) = 35×2×-9
a(3) = 70×-9
a(3) = -630
There the 3rd term of the series will give us -630 according to the nth term of the formula given.
The problem is about a recursive sequence where each term is the previous term multiplied by -9. After applying this rule twice, it is found that the 3rd term of the sequence is 243.
The problem provided indicates a recursive sequence, where each term is based on the previous term. The sequence is defined as a(1) = 3 and a(n) = a(n - 1) ⋅ (−9), which essentially means that each subsequent term is the previous term multiplied by -9.
To find the 3rd term, we apply this rule twice starting from the first term:
a(2) = a(1) * (-9) = 3 * (-9) = -27
a(3) = a(2) * (-9) = -27 * (-9) = 243
Therefore, the 3rd term of the sequence is 243.
#SPJ3
If Patricia had two pizzas cut into eighths, she had 16 slices. After eating 1/4 of a pizza (2 slices) on Friday and 3 slices on Saturday (total of 5 slices), she had 11 slices left.
Patricia had two pizzas, and each was cut into eighths. This implies she had 2 * 8 = 16 slices of pizza initially. If Patricia ate 1/4 of a pizza on Friday, that's equivalent to eating two slices (since each pizza had 8 slices) and then she ate 3 more slices on Saturday. So, Patricia in total ate 2 + 3 = 5 slices.
Subtracting the amount Patricia ate from her initial number of slices will give the remaining slices. So, she has 16 - 5 = 11 slices of pizza left.
#SPJ12
B.39/66
C.157/198
D.88/99