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2 answers:
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Answer:
B. 4200
Step-by-step explanation:
A suitable calculator can add the terms for you. (See attached)
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The first term is 69, and the common difference is 75-69 = 6. The general term is ...
an = a1 +d(n -1)
an = 69 +6(n -1)
Then the 28th term is ...
a28 = 69 +6(27) = 231
The average term is (a28 +a1)/2 = (231 +69)/2 = 150.
The sum is the number of terms multiplied by the average term:
sum = 28×150= 4200
Answer:
a) Observe that
Then,
b) The zero matrix satisfies that for every matrix B such that the product is well defined,
Since the matrix G is the zero matrix then
c) The identity(Id) matrix satisfies that for that for every matrix B such that the product is well defined Id*B=B=B*Id. Observe that G is the identity matrix, then FG=F*Id=F=Id*F=GF
d) Observe that
.
Then