Evaluate the summation of 3 times negative 2 to the n minus 1 power, from n equals 1 to 5. A) −93. B) −33. C) 33. D) 93
2 answers:
Answer:
(C)33
Step-by-step explanation:
The given summation can be written as:
Putting the values of n from 1 to 5 in the above equation, we get
=
=
=
=
Thus, the value of the given summation is 33.
Hence, option C is correct.
∑ ( from n = 1 to n =5 ) 3 · ( -2 ) ^( n -1 ) a 1 = 3 · ( -2 ) ^0 = 3 a 2 = 3 · ( - 2 ) = - 6 a 3 = 3 · 4 = 12 a 4 = 3 · ( - 8 ) = - 24 a 5 = 3 · 16 = 48 3 - 6 + 12 - 24 + 48 = 33 Answer: C ) 33
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