Select the correct answer. Which expression is equivalent to the complex number 10 + 3i?
1 answer:
The expression that is equivalent to the complex number 10 + 3i is (4+7i)-2i(2+3i)
<h3>Complex numbers</h3>Complex numbers are square root of negative numbers. They are expressed as a + bi
Using the expression
(4+7i)-2i(2+3i)
Expand
4 + 7i - 4i -2i(3i)
4 + 3i - 2(-3)
4 + 6 + 3i
10 + 3i
Hence the expression that is equivalent to the complex number 10 + 3i is (4+7i)-2i(2+3i)
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Answer:
783
Step-by-step explanation:
We have to find the sum of Arithmetic series from t = 1 to t = 18 represented by (5t - 4)
The formula to find the sum of an Arithmetic series when first and the last term is known is:
Here,
n = Total number of terms = 18
= First Term = 5(1) - 4 = 1
= 18th Term = 5(18) - 4 = 86
Using the values in the above formula, we get:
Thus, the sum of 18 terms of the given Arithmetic Series is 783.