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y = -3/4x + 12

Step-by-step explanation:

slope-intercept form is:  y = mx + b

where the 'x' and 'y' values come from a point, 'm' is the slope, and 'b' is the y-intercept

In this problem we need to find the y-intercept so we plug in the values we have:

6 = (-3/4)(8) + b

6 = -6 + b

12 = b

Now put it together:

y = -3/4x + 12

(a)

(b)

Step-by-step explanation:

Given

The above sequence

Solving (a): The explicit formula

The given sequence is a geometric sequence because the common ratio (r) is:

The explicit formula is calculated using the n term of an GP.

Solving (b): Summation notation.

This implies that the sum of the sequence.

To do this, we write Tn inside the summation sign

i.e.

Substitute values for Tn