Answer:
a = 36, b = 54
Step-by-step explanation:
Since the terms are in arithmetic progression then there is a common difference d between consecutive terms , that is
b - a = 72 - b ( add b to both sides )
2b - a = 72 → (1)
and
a + b - 72 = b - a ( subtract b - a from both sides )
2a - 72 = 0 ( add 72 to both sides )
2a = 72 ( divide both sides by 2 )
a = 36
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Substitute a = 36 into (1) and evaluate for b
2b - 36 = 72 ( add 36 to both sides )
2b = 108 ( divide both sides by 2 )
b = 54
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Thus a = 36 and b = 54
The sequence is therefore 36, 54, 72, 90 , .....
5s or 2 is the correct answer.
Answer:
x = ± 15
Step-by-step explanation:
Given f(x) = - 0.5x² and f(x) = - 112.5 , then equate right sides
- 0.5x² = - 112.5 ( divide both sides by - 0.5 )
x² = 225 ( take square root of both sides )
x = ±
= ± 15
Let the three consecutive integers be x, x+1 and x+2.
According to the question, x+x+1+x+2=51
=>3x+3=51
=>3x+3-3=51-3
=>3x=48
=>x=16
Hence, first integer = 16,
second integer = 16 + 1 = 17 and
third integer = 16 + 2 = 18.
Answer:
first one
Step-by-step explanation:
it's between 3 and 4
ask me if you need explanation ♥️