The expression for the total number of miles he drove in the two weeks is m + 153
<h3>How to determine the expression for the total number of miles he drove in the two weeks?</h3>
The given parameters are
Last week = m miles
This week = 153 miles
The expression for the total number of miles he drove in the two weeks is
Expression = Last week + This week
This gives
Expression = m + 153
Hence, the expression for the total number of miles he drove in the two weeks is m + 153
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Answer:
-1.375
Step-by-step explanation:
precedence is:
1 Parentheses (simplify inside 'em)
2 Exponents
3 Multiplication and Division (from left to right)
4 Addition and Subtraction (from left to right)
(7+41) = 48
48 ÷ 2 = 24
24 -15 = 9
A₅ = 1/16 and r= 1/4
Let see how to build up this formula that is going to give that term of rank n
1st term =a₁ = To be calculated
1st a₁ = a₁ x r°
2nd a₂ = a₁ x r¹
3rd a₃ = a₁ x r²
4th a₄ = a₁ x r³
5th a₅ = a₁ x r⁴
.......................
.......................
nth : a(n) = a₁ x r⁽ⁿ-¹)
Note when that the subscript of a is the same as the exponent mines 1
We know the ratio r =1/4 & the fifth term, a₅ =1/16 (given). Now let's apply the formula to calculate the unknown a₁.
a(n) = a₁ x r⁽ⁿ-¹) ==>a₅ = a₁ x (1/4)⁽⁵⁺¹⁾ ===> 1/16 = a₁ x (1/4)⁴
1/167 = a₁ (1/256) ==> a₁ =16 & the formula becomes
a₅ = 16(1/4)⁴
