= 1455
generate a few terms of the sequence using 
= 3n + 2
= ( 3 × 1) + 2 = 5
= (3 × 2) + 2 = 8
= (3 × 3 ) + 2 = 11
= (3 × 4 ) + 2 = 14
= ( 3 × 5 ) + 2 = 17
the terms are 5, 8, 11, 14, 17
these are the terms of an arithmetic sequence
sum to n terms is calculated using 
= 
[ 2a + (n-1)d]
where a is the first term and d the common difference
d = 8 - 5 = 11 - 8 = 14 - 11 = 3 and = 5
= 
[( 2 × 5) + (29 × 3) ]
= 15( 10 + 87) = 15 × 97 = 1455
Answer:
840 in^2
Step-by-step explanation:
If the base is square and the side length is 10 inches, the areas of the base and of the top combined is 2(100 in^2).
The height of the prism comes from dividing the volume, 1600 in^3, by the area of the base, 100 in^2: It is 16 in. Then the combined areas of the four sides of the prism is 4(160 in^2).
The total surface area of the prsim is then 640 in^2 + 200 in^2, or 840 in^2.
Answer:
Step-by-step explanation:
The square root of 36 is 6!
Hope it helps
Answer:
2nd
Step-by-step explanation:
Answer:
Maylin should purchase one unit of each socks & jogging shorts.
Step-by-step explanation:
In case of two goods, consumer is at equilibrium when marginal utility per dollar spent on last unit of the goods are equal, ie MU 1 / P1 = MU 2 / P2 (MU are the marginal utilities / marginal benefit of two goods, P are the price of two goods)
Given : MU1 (So) = 20, MU2 (JSh) = 30, P1 (So) = 10, P2 (JSh) = 15
So, equilibrium is at where MU1 (So) / P1 (So) = MU2 (JSh) / P2 (Jsh)
20/10 = 2, & 30/15 = 2. MU's per dollar are equal for both.
So Maylin is in equilibrium, she should purchase one unit of each socks & jogging shorts.
