Find S8 for the arithmetic series 10+ ...-144.

= - 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

the formula of a slope:

from a table we have

substitute:

the slope of f(x) is -1.

the graph of funcfion g(x) is a horizontal line. the slope of a horizontal line is equal 0. therefore the slope of g(x) is 0.

-1 < 0

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