Find the value of term a14 in the sequence. 7, 2, -3, -8, -13...

-58

Step-by-step explanation:

The first term (a₁) is 7 and the common difference (d) is 2 - 7 = -5.

Explicit formula of arithmetic sequence: aₙ = a₁ + (n - 1) * d

aₙ = 7 + (n - 1) * (-5) = 7 - 5n + 5 = -5n + 12

Therefore, a₁₄ = -5 * 14 + 12 = -58.

infinitely many solutions

step-by-step explanation:

we have been given the equation;

2(2x + 3) = -4 + 2(2x + 5)

we need to determine the value of x.

2(2x + 3), we expand this expression to obtain 4x + 6

similarly 2(2x + 5) will become 4x + 10

now we have;

4x + 6 = -4 + 4x + 10

4x + 6 = 4x + 10 - 4

4x + 6 = 4x + 6

the expression on the left hand side is identical to the one on the right hand side. therefore, we are looking at just a single straight line whose equation is;

y = 4x + 6

consequently, we shall have infinitely many solutions

a)(x-2)^2+(y-1)^2=9

step-by-step explanation:

(picture explains)