The sum of a geometric sequence is:
s(n)=a(1-r^n)/(1-r) in our case:
s(n)=3(1-4^n)/(1-4)
s(n)=-(1-4^n)
s(n)=(4^n)-1 and s=1023
(4^n)-1=1023
4^n=1024
n ln4=ln1024
n=(ln1024)/(ln4)
n=5
Answer:
the fifth president name was James Monroe
1st equation x - 7 < 14:
x < 14 + 7 (add 7 to both sides)
x < 21 (add 14 + 7 so it can equal 21)
2nd equation x + 13 > 21:
x > 21 - 13 (subtract 13 from both sides)
x > 8 (subtract 21 - 13 so it can equal 8)
60 hope this helps you out
9514 1404 393
Answer:
- Joyce is incorrect; 14 is not divisible by 4
- Nathan is correct; 4 is divisible by 2 and all numbers with 4 in the ones place have 2 as a factor.
Step-by-step explanation:
We know that 4 is divisible by 4, and 14 is not. It has to do with 14 = 4 + 10, where 10 does not have 4 as a factor.
On the other hand, both 4 and 14 are divisible by 2. That's because 14 = 4 + 10, where 10 has 2 as a factor.
Joyce is incorrect; Nathan is correct—for the reasons shown above.
