Answer:
The first three terms of the series are 8, 10 and 12. The number of terms is 12 to make the sum 228.
Step-by-step explanation:
The series is defined as
Put n=1.
Put n=2.
Put n=3.
The first three terms of the series are 8, 10 and 12.
It is an arithmetic series. The first terms is 8 and the common difference is
The sum of n terms of an arithmetic series is
Equate each factor equal to zero.
The number of terms can not be negative, therefore the value of n must be 12.
Answer:
38
Step-by-step explanation:
A^2 -b^2 / a +b
Apply the difference of two squares formula to the top :
A^2 - b^2 = (a+b)(a-b)
now you have :
(A+b)(a-b) / a+b = 12
the two (a+ b)’s cancel each other out so you are left with a-b = 12
answer: a-b = 12
Answer:
a)
b)
c)
d)
Step-by-step explanation:
a) If the coins are all the same, we have a combination of 35 identical coins in 5 persons.
The amount of combinations is
being n the number of coins and r the number of grandchildren.
b) If the coins are different, the number of combinations can be calculated as:
c) If the coins are all the same, and each grandchild gets the same number of coins, there is only one combination for that (everyone gets 35/5=7 coins)
d) If the coins are all distinct, but each of the grandchildren get the same numer of coins, the expression to calculate this is:
I’m from the U.K. and prefer using the pound sign, so just change it back to dollars.
Last Week: £30 + £20 = £50
This week
Babysitting sister = £20 (x4) = £80
Pet sitting for 2 days = £30
Total this week: £110
Monthly total: £110 + £50 = £160
Answer is: £160