Answer:
Step-by-step explanation:
-Given the two heights are similar:
#Heidi's flowered bed dimensions and volume is calculated as:
#The width of Andrew's is twice Heidi's. The width and volume is thus calculated as:
#Total soil volume of the soil used is determined by summing the two different flowerbed volumes:
Answer:
13
Step-by-step explanation:
where n is the number of terms, a1 is the first term and an is the last term. The sum of the first n terms of an arithmetic sequence is called an arithmetic series . Example 1: Find the sum of the first 20 terms of the arithmetic series if a1=5 and a20=62 .An arithmetic sequence is a sequence where the difference between any two consecutive terms is a constant. ... As with any recursive formula, the initial term of the sequence must be given. An explicit formula for an arithmetic sequence with common difference d is given by an=a1+d(n−1) a n = a 1 + d ( n − 1 ) .
Answer:
see below
Step-by-step explanation:
The formula for the sum of an infinite geometric series with first term a1 and common ratio r (where |r| < 1) is ...
sum = a1/(1 -r)
Applying this to the given series, we get ...
a. sum = 5/(1 -3/4) = 5/(1/4) = 20
b. sum = d/(1 -1/t) = d/((t-1)/t) = dt/(t-1)
_____
The derivation of the above formula is in most texts on sequences and series. In general, you write an expression for the difference of the sum (S) and the product r·S. You find all terms of the series cancel except the first and last, and the last goes to zero in the limit, because r^∞ → 0 for |r| < 1. Hence you get ...
S -rS = a1
S = a1/(1 -r)
Answer: 60
Step-by-step explanation:
It’s an equilateral triangle based on the congruent sides.
Answer:
On a coordinate plane, a line has a negative slope
Step-by-step explanation:
A linear function is a function whose graph is a straight line. For example, y = 3x - 2 represents a straight line on a coordinate plane and hence it represents a linear function.
