Answer:
6 coins
Step-by-step explanation:
3 dimes
1 nickel
2 pennies
Hi there!
Here are some examples for you:
Two one step equations:
6x = 36
y + 5 = 10
Two equations containing fractions:
1/2x = 4
3/4y + 1 = 8
One equation using the distributive property:
2(x + 5) = 3
One equation with a decimal:
2.5x + 5 = 10
One real world problem that is solved by an equation:
At the beginning, I had 5 cups of flour. I made a batch of cookies. Now, I have 3.5 cups of flour. How much flour did I use?
5 - x = 3.5
Hope this helps!! :)
If there's anything else that I can help you with, please let me know!
Are you looking for the the term
It will fall betwenn the square root of 169 which is 13 and 196 is 14
Answer:
the common ratio is either 2 or -2.
the sum of the first 7 terms is then either 765 or 255
Step-by-step explanation:
a geometric sequence or series of progression (these are the most common names for the same thing) means that every new term of the sequence is created by multiplying the previous term by a constant factor which is called the common ratio.
so,
a1
a2 = a1×f
a3 = a2×f = a1×f²
a4 = a3×f = a1×f³
the problem description here tells us
a3 = 4×a1
and from above we know a3 = a1×f².
so, f² = 4
and therefore the common ratio = f = 2 or -2 (we need to keep that in mind).
again, the problem description tells us
a2 + a4 = 30
a1×f + a1×f³ = 30
for f = 2
a1×2 + a1×2³ = 30
2a1 + 8a1 = 30
10a1 = 30
a1 = 3
for f = -2
a1×-2 + a1×(-2)³ = 30
-10a1 = 30
a1 = -3
the sum of the first n terms of a geometric sequence is
sn = a1×(1 - f^(n+1))/(1-f) for f <>1
so, for f = 2
s7 = 3×(1 - 2⁸)/(1-2) = 3×-255/-1 = 3×255 = 765
for f = -2
s7 = -3×(1 - (-2)⁸)/(1 - -2) = -3×(1-256)/3 = -3×-255/3 =
= -1×-255 = 255
