The key is to find the first term a(1) and the difference d.
in an arithmetic sequence, the nth term is the first term +(n-1)d
the firs three terms: a(1), a(1)+d, a(1)+2d
the next three terms: a(1)+3d, a(1)+4d, a(1)+5d,
a(1) + a(1)+d +a(1)+2d=108
a(1)+3d + a(1)+4d + a(1)+5d=183
subtract the first equation from the second equation: 9d=75, d=75/9=25/3
Plug d=25/3 in the first equation to find a(1): a(1)=83/3
the 11th term is: a(1)+(25/3)(11-1)=83/3 +250/3=111
Please double check my calculation. <span />
Answer:
To find the surface area of a cylinder add the surface area of each end plus the surface area of the side. Each end is a circle so the surface area of each end is π * r2, where r is the radius of the end. There are two ends so their combinded surface area is 2 π * r2.
Step-by-step explanation:
Answer/Step-by-step Explanation:
True. Expressions cm be expressed using the above listed
Answer: The general formula for exponential sequence or GP is
GP = arn-1 , ie ar raised to the power of n-1 where a is the first term , r is the common ratio and n is the number of terms. Now to find the 14th term we first find the common ratio (r) by dividing the second term by the first term of third by second term.
r = -10/5
=. -2.
Since n is 14-1 = 13. and a is 5
we now put those values in the formula to find the 14th term
T14 = ar^n-1
= 5 x (-2)^13
= 5 x -8192
=. -40,960
There the 14th term of the GP sequence
= -40,960
Step-by-step explanation:
