. Find the sum of the first 30 terms of the series:16 + 19 + 22 +......
2 answers:
Answer:
<h3>The answer is 1785</h3>Step-by-step explanation:
The above sequence is an arithmetic sequence
The sum of an nth term of an arithmetic sequence is written as
Where n is the number of terms
a is the first term
d is the common difference
From the question
n is 30
a is 16
d = 19 - 16 = 3
So the first 30 terms of the series is
Hope this helps you.
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Step-by-step explanation:
hypotenuse =
Answer:
x = x = 9 ± or x ≈ 12.61 or x ≈ 5.39
Step-by-step explanation:
x² - 18x + 68 Solve by completing the square.
x² - 18x = - 68
Now complete the square and add that number to both sides of the equation.
1/2 (of the coefficient of the x term)² = (1/2 · -18)² = 81 .
x² - 18x + 81 = -68 + 81
(x - 9) (x - 9) = 13 Now find the square root of both sides
=
Solve
x - 9 = ± Solve for x
x = 9 ±
x = 9 + or x = 9 -
x ≈ 12.61 or x ≈ x 5.39