Four students are sitting in the first row. In the second row, 4 students sit behind each of those students, and so on. After th
2 answers:
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Answer:
x=24
Step-by-step explanation:
The Quotient(dividing) of a number(x) and 6 minus(-) 3 IS(=) 1.
Which turns into:
- 3 = 1
We want to get x by itself so we divide the entire equation by 6.
6 ( - 3 = 1 )
x - 18 = 6
We want to move the plain numbers to one side so x can be by itself. So we add 18 to both sides.
x = 24
<u>Number of terms = 48</u>
<u>common difference = 1.5</u>
This question involves the concept of Arithmetic Progression.
- The formula for sum of an arithmetic progression series with first and last term given is;
=
(a + l)
where;
a = first term
l = last term
n = number of terms
- From the given sequence, we see that;
first term; a = 4
last term; l = 76
Sum of A.P; = 1920
- Plugging in relevant values into the sum of an AP formula, we have;
1920 = (4 + 76)
simplifying this gives;
1920 = 40n
n = 1920/40
n = 48
- Formula for nth term of an AP is;
=
+ (n - 1)d
where;
is first term
d is common difference
n is number of term
is the nth term in question
the 48th term is 76
Thus;
76 = 4 + (48 - 1)d
76 - 4 = 47d
72 = 47d
d = 72/47
d ≈ 1.5
Thus;
Number of terms = 48
common difference = 1.5
Read more at; brainly.com/question/16935540