An+1= 3n+3 +2
An+1 - An = <span>3n+5 -3n-2=3
An is aa arithmetic sequence
its sum is given by:
A0 +A1 +A2 + . . . + An = N(Ao + An) /2
where N = n-0=n
</span><span>S50= A0 +A1 +A2 + . . . + A50 = 50(Ao + A50) /2
</span>
S50 = 50(Ao + A50) /2
Ao=2, A50=150+2=152
S50= <span>50(Ao + A50) /2
</span>
finally
<span>S50=25*154=3850</span>
Answer:
Step-by-step explanation:
<u>For old circular garden:</u>
take the radius as r.
then use the formula to find area of circle: πr² ......this is old garden area.
<u>For new enlarged garden:</u>
the radius is twice the old radius so, radius = 2 * r = 2r ......enlarged radius
now find area for this new garden: π(2r)² → 4πr²
In common fractions: (old garden)/(new garden)
: ( πr² ) / ( 4πr² )
: 1/4
Answer:
Tim is 12 years
Step-by-step explanation:
Given that Zac is 18 years old and Tim's age is 2/3 Zac's age, to compute Tim's age, we would multiply Zac's age with the fraction.
Such that;
Tim's age = 2/3 * 18
= 2* 18/3
= 2 * 6
= 12 years
Hence Tim is 12 years old.
So 4 is 2 times 2 and 4 times 2 is 8
so your room has the dimensions 4 ft x 2 ft
Kyla put 4 ounces of milk in 2 cups of coffee for her parents. How much milk would she need for 16 cups of coffee?
A: 1c
B: 1qt
C:2c
D:2qt
______________
4 ounces of milk in 2 cups of coffee for her parents.
4/2= 2 ounces of milk per cup
___________________
for 16 cups
Do you know how many ounces correspond to c or qt?
16* 2= 32 ounces
________________
32 ounces = 1 qt
So then,
Kyla needs to put 1 qt for 16 cups of coffee
Answer: B 1 qt
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