What is the sum of the arithmetic sequence 151, 137, 123,..if there are 26 terms?
1 answer:
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Answer:
see explanation
Step-by-step explanation:
Using the trigonometric identities
• 1 + cot² x = csc²x and csc x =
• sin²x + cos²x = 1 ⇒ sin²x = 1 - cos²x
Consider the left side
sin²Θ( 1 + cot²Θ )
= sin²Θ × csc²Θ
= sin²Θ × 1 / sin²Θ = 1 = right side ⇔ verified
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Consider the left side
cos²Θ - sin²Θ
= cos²Θ - (1 - cos²Θ)
= cos²Θ - 1 + cos²Θ
= 2cos²Θ - 1 = right side ⇒ verified
Answer:
There will be 9897.47€ in the account.
La cantidad será de 9897.47€.
Step-by-step explanation:
Future value with annuity:
The future value formula, for an annuity, is:
An annuity means that a number of payments happen during the period(an year, for example.
P is the value of the deposit, r is the interest rate, as a decimal, and n is the number of deposits.
In this question:
1000 € each year, so
Interest rate of 6%, so
One application per year for 8 years, so
Total amount:
There will be 9897.47€ in the account.
La cantidad será de 9897.47€.