Explicit formulas for arithmetic sequences are derived from terms in arithmetic sequences. It helps to find each term in arithmetic progression easily. The arithmetic progression is a1, a2, a3, ..., an. where the first term is denoted as 'a', we have a = a1, and the tolerance is denoted as 'd'. The tolerance formula is d = a2 - a1 = a3 - a2 = an - an - 1. The nth term of the arithmetic progression represents the explicit formula for the arithmetic progression.
Explicit formula: an= a + (n − 1) d
Explicit formula: Sn = n/2 [2a+(n-1) d]
Where,
nth term in the arithmetic sequence
a = first term in the arithmetic sequence
d = difference (each term and its term difference) previous term, i.e., d = an-an-1
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Answer:
Option E
Step-by-step explanation:
This survey will not be reliable as it is chosen for convenience; the first 120 students to arrive in school on a particular morning and this collection of individuals may not be a representative of the population. The study may become biased because it does not take into account the latecomers among the students which might have been changed the study from systematically favoring certain outcomes.
Answer:
Step-by-step explanation:
x2+y2+ax+by+c=0
Step 1: Add -by to both sides.
ax+by+x2+y2+c+−by=0+−by
ax+x2+y2+c=−by
Step 2: Add -x^2 to both sides.
ax+x2+y2+c+−x2=−by+−x2
ax+y2+c=−bax+y2+c+−y2=−by−x2+−y2
ax+c=−by−x2−y2
Step 4: Add -c to both sides.
ax+c+−c=−by−x2−y2+−c
ax=−by−x2−y2−c
Step 5: Divide both sides by x.
ax
x
=
−by−x2−y2−c
x
a=
−by−x2−y2−c
x
y−x2
Answer:
x=6
Step-by-step explanation:
We can write this as a ratio
x 9
---- = --------
10 15
Using cross products
15x = 10*9
15x = 90
Divide by 15
15x/15 = 90/15
x =6
Answer:
The answer is
Step-by-step explanation:
Area of a rectangle = length × width
Since we are finding the length
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From the question
area = 5/6 sq. feet
width = 2/3 foot
Substitute the values into the above formula and solve for the length
The length is
We have the final answer as
Hope this helps you
