<span> a_1 = 2, a_(n+1) = -3*a_n.
In words, the next term is the current
one multiplied by -3. </span>
The answer as a decimal is -42.6
Answer:
35 students brought their lunch to school on Thursday
Step-by-step explanation:
700 students
Convert 5% to a decimal
5% = 0.05
Then multiply
700 * 0.05 = 35
It would be a linear relationship where y represents the number of pages printed, which is dependent on x, which is the amount of ink used.
Hope this helps
Answer:
3.
Step-by-step explanation:
This is a geometric series so the sum is:
a1 * r^n - 1 / (r - 1)
= 1 * (2^101 -1) / (2-1)
= 2^101 - 1.
Find the remainder when 2^101 is divided by 7:
Note that 101 = 14*7 + 3 so
2^101 = 2^(7*14 + 3) = 2^3 * (2^14)^7 = 8 * (2^14)^7.
By Fermat's Little Theorem (2^14) ^ 7 = 2^14 mod 7 = 4^7 mod 7.
So 2^101 mod 7 = (8 * 4^7) mod 7
= (8 * 4) mod 7
= 32 mod 7
= 4 = the remainder when 2^101 is divided by 7.
So the remainder when 2^101- 1 is divided by 7 is 4 - 1 = 3..