<span>3,−6,12,−24,...</span>
You can rewrite this as:
<span><span><span>(−1)</span>n</span>3⋅<span>(1,2,4,8,...)</span></span>
If we focus on <span>1,2,4,8...</span>
<span><span>a<span>n+1</span></span>=2<span>an</span></span>
with <span><span>a0</span>=1</span>.
This can be written out as a nice sum:
<span><span><span>N∑</span><span>n=0</span></span><span>2n</span>=<span>20</span>+<span>21</span>+<span>22</span>+<span>23</span>+...</span>
<span>=1+2+4+8+...</span>
Thus, now we can recombine everything to get:
<span>3<span><span>N∑</span><span>n=0</span></span><span><span>(−1)</span>n</span><span>2<span>n
</span></span></span>
If P = b + a + c, and we are to solve for b, subtract a and subtract c from both sides:
P - a - c = b (answer)
Answer:
The potential salary of Mr. Jackson in 5 years in company A is $ 48000 and in company B is $ 50000.
Step-by-step explanation:
Company A offer:
Pay for first year,
Increase in pay each year after first year,
The total pay after n years can be determined using the term of the arithmetic progression as the increase in pay is an arithmetic sequence with first term as 40000 and common difference as 2000.
So, Total pay after 5 years is given as:
Company B offer:
Pay for first year,
Increase in pay each year after first year,
The total pay after n years can be determined using the term of the arithmetic progression as the increase in pay is an arithmetic sequence with first term as 30000 and common difference as 5000.
So, Total pay after 5 years is given as:
Therefore,
The potential salary of Mr. Jackson in 5 years in company A is $ 48000 and in company B is $ 50000.
Answer:
0.00027148092
Step-by-step explanation:
calculator lol