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Answer:
Find the 13th term in the following arithmetic sequence
2, 10, 18, 26 ...192 is the 13th term
Set up two equations:
Let a = adults and c = child:
a + c = 289 ( rewrite as a = 289 - c)
1.50c + 4a = 746
Replace a with the rewritten formula:
1.50c + 4(289-c) = 746
SImplify:
1.50c + 1156 - 4c = 746
Combine like terms:
-2.50c + 1156 = 746
Subtract 1156 from both sides:
-2.50c = -410
Divide both sides by -2.50
c = -410 / -2.50 = 164
Number of children = 164
Number of adults = 289 - 164 = 125
Answer:
the answer is 12-18
it's because 12 can't go in 18
so we minus 18 from 12 which is 6
Then we add the minus sign
To find the common difference between the numbers, let us first find the difference between the second number and the first number.
(5/16) - (1/4) = (5 - 4)/16
= 1/16
Let us now find the difference between the third number and the second number
(3/8) - (5/16) = (6 - 5)/16
= 1/16
From the above two deductions, we can conclude that the common difference is 1/16 and the correct option among all the options given in the question is the first option.