The thirty-second term is 143
Further explanation:
As it is already given that the given sequence is an arithmetic sequence
We have to find the common difference first
So,
The common difference is 5.
And first term is -12
The explicit formula for arithmetic sequence is:
Putting the values in the formula
Putting n=32 in explicit formula
The thirty-second term is 143
Keywords: Common difference, Arithmetic Sequence
Learn more about arithmetic sequence at:
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Johnny is selling tickets to a school play. On the first day of ticket sales he sold 14 senior (S) citizen tickets and 4 child (C) tickets for a total of $200. On the second day of ticket sales he sold 7 senior (S) citizen tickets and 1 child (C) ticket for a total of $92. What is the price of one child ticket?
14S + 4C = 200
14S = 200 - 4C
S = (200 - 4C)/14
7S + 1C = 92
7S = 92 - C
S = (92 - C)/7
(200 - 4C)/14 = (92 - C)/7
7 x (200 - 4C) = 14 x (92 - C)
1400 - 28C = 1288 - 14C
1400 - 1288 = 28C - 14C
112 = 14C
C = 112/14 = 8
the price of one child ticket = $8
I'd like to assume that the triangle is a right triangle and you solve for x so...
133 + c = 180 (supplementary property to find one angle of triangle)
c = 47
x = 180 - 90 - 47 (int. angles of triangle = 180)
= 90 - 47
= 43
Therefore, x is 43 degrees
Answer:
228
Step-by-step explanation:
