Find S8 for the arithmetic series 10+ ...-144.
1 answer:
Answer:
= - 536
Step-by-step explanation:
The n th term of an arithmetic series is
= a₁ + (n - 1)d
where a₁ is the first term and d the common difference
Here a₁ = 10 and = - 144 , thus
10 + (n - 1)d = - 144 ( subtract 10 from both sides )
(n - 1)d = - 154
The sum to n terms of an arithmetic series is
=
[ 2a₁ + (n - 1)d ] , thus
=
[ (2 × 10) + (- 154) ]
= 4(20 - 154)
= 4 × - 134
= - 536
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Answer:
The expression used to find the change in temperature per hour is Algebraic expression
Thus per hour; the temperature falls at the rate of
Step-by-step explanation:
A temperature falls from 0 to in
Which expression finds the change in temperature per hour.
From the above given information;
The initial temperature is 0
The final temperature is
The change in temperature is
Thus;
-12.25 ° = 3.5 hours
To find the change in x° per hour; we have;
x° = 1 hour
The expression used to find the change in temperature per hour is Algebraic expression
From above if we cross multiply ; we have;
(- 12.25° × 1 hour) = (x° × 3.5 hour)
Divide both sides by 3.5 hours; we have:
x° = - 3.5
x° =
Thus per hour; the temperature falls at the rate of