In a Geometric Sequence,<span> each term is found by </span>multiplying<span> the previous term by a </span>constant<span>. For this case, the constant is 4. To find the sum of the geometric sequence with 8 terms, we use the formula as follows:
</span>∑(ar^k) = a ( 1-r^n) / (1-r)
<span>
where a is the first term, r is the constant, n is the number of terms
</span>∑(ar^k) = 4 ( 1-4^8) / (1-4)
∑(ar^k) = 87380
Answer:
49 x^4 - 4 = 0
(7 x^2 - 2) (7 x^2 + 2) = 0
Only the first term will have real roots
7 x^2 = 2
x = (2 / 7)^1/2 = .535 or -.535
Where is the persons info
Answer:
$82.56
Step-by-step explanation:
Earnings for mowing 2 lawns on Peach St
= 2 x $15.32
= $30.64
Earnings for mowing 4 lawns on Onion St
= 4 x $12.98
= $51.92
Total earnings
= $30.64 + $51.92
= $82.56
Answer:
Step-by-step explanation:
hello :
a)
let f(x) = y so : x = g(y)
in expression = f(x) =3x+12
means : y = 3x +12 calculate : x
3x = y -12
x = (1/3)y - 4
the inverse is : g(x) = (1/3)x - 4
b)f(g(-2) = f(-14/3)
because: g(-2) = (1/3)(-2)-4 = -2/3-4 = -14/3
so : f(g(-2) = f(-14/3)=3(-14/3)+12 = - 2
