Please help. 44 point's
1 answer:
Answer:
- 25
- (5+4)*2 +6 -2*2 -1
Step-by-step explanation:
1. Per the order of operations, do the exponentiation first, then the multiplication, then the addition:
= 6*7 -9*9 +64
= 42 -81 +64
= -39 +64
= 25
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2. The expression given evaluates to ...
5 +4*2 +6 -2*2 -1 = 5 + 8 + 6 - 4 - 1 = 14
If you realize that the last three terms add to 1 and the first two terms can be rearranged to (5 +4)*2 = 18, then you can see that a sum of 19 is easily achievable. Parentheses are needed only around the first two numbers:
(5 +4)*2 +6 -2*2 -1 = 19
According to the order of operations, this is ...
9*2 +6 -2*2 -1 . . . . . operations inside parentheses are first
= 18 +6 -4 -1 . . . . . . multiplication is next
= 24 -4 -1 . . . . . . . . . sums are carried out left to right
= 20 -1
= 19
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The attachments show these expressions evaluated using the Google calculator. It can be relied upon to follow the order of operations exactly.
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We're given the Arithmetic Progression <em>-24, -4, 16, 36 ...</em> .
We know that a term in an AP is generally represented as:
where,
- a = the first term in the sequence
- n = the number of the term/number of terms
- d = difference between two terms
We need to find .
From the given progression, we have:
- a = -24
- n = 23
- d = (-24 - (-4) = -20
Using these in the formula,
Therefore, the 23rd term in the AP is -464.
Hope it helps. :)