The value of the expression (12/2)×| 1.3 - 2.16 | is 5.16 .
The Absolute Value of a number means writing the number without the negative sign .
For Example : the absolute value of -2 is |-2| = 2
In the question ,
an expression in words is given as "12 divided by 2 x the absolute value of 1.3 minus 2.16 "
the above expression in numbers can be represented by
= (12/2)×| 1.3 - 2.16 |
= 6 × | 1.3 - 2.16 |
= 6 × |-0.86|
= 6 × 0.86 .... because |-0.86| = 0.86
= 5.16
Therefore , The value of the expression (12/2)×| 1.3 - 2.16 | is 5.16 .
The given question is incomplete , the complete question is
Find the value of the expression " 12 divided by 2 x the absolute value of 1.3 minus 2.16 " ?
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Answer:
9.3
Step-by-step explanation:
Answer:
- The sequence is an Arthemtic Progression
An=A1+(n-1)d
A1 is first term, An is nth term, n is number of term, and d is common difference
therefore
A4=35, A1= -17
A4=A1+(4-1)d
35= -17+3d
35+17=3d
52=3d
52/3=3d/3
14=d
common diffrence(d)=14
- The general solution is given by
An= -17+(n-1)14
An= -17+14n-14
An= -31+14n
<u>An= 14n-31</u>
A14 term, means n=14
From An=A1+(n-1)d
A14= -17+(14-1)14
= -17+(13×14)
= -17+182
= 165.
<u>Therfore, the 14th term is 165.</u>
2. A sequence has a CR of 4/5 and its eighth term (a8) is (393216/3125). What is its general equation? Its 3rd term?
<u>solution</u>
common ratio(r)=4/5
eighth term(G8)=393216/3125
From Gn= G1r^(n-1)
G8 means n=8
G8=G1r^(n-1)
393216/3125=G1(4/5)^(8-1)
393216/3125=G1(4/5)^7
G1=(393216/3125)/(4/5)^7
G1=600
<u>The first term is given by G1=600</u>
The General equation is given by
The General equation is given by Gn= 600(4/5)^(n-1)
3rd term (G3)
G3= G1(4/5)^(3-1) where n=3,
=600(4/5)^2
=600(16/25)
=384
<u>Therefore, the 3rd term is given by G3= </u><u>3</u><u>8</u><u>4</u><u>.</u>
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