Answer:
d = 17
Step-by-step explanation:
The given arithmetic sequence is :
31, 48, 65, 82, ...
We need to find the common difference for this sequence.
First term, a₁ = 31
Second term, a₂ = 48
Common difference = a₂-a₁
= 48-31
= 17
So, the common difference for this arithmetic sequence is equal to 17.
Answer:
He should buy a 50 inch TV
Step-by-step explanation:
Using Pythagorean theorem the TV cabinet has a diagonal of :
Answer: The number of points added for r right answers is 12r. The number of points taken away for w wrong answers is 4w, so Olga's total points will be
... 12r -4w
To win, she needs this number to be more than 400. Your inequality is ...
... 12r -4w > 400
Follow these 3 steps to convert mixed numbers to improper fractions:
Multiply the whole number by the denominator
Add the answer from Step 1 to the numerator
Write answer from Step 2 over the denominator
l
Short answer: 301
Long answer: The definition of a "Geometric Sequence" is available, for instance, at http://www.mathsisfun.com/algebra/sequences-sums-geometric.html : "<em>In a Geometric Sequence each term is found by multiplying the previous term by a constant."
</em>In this case, you are given the first term (43), and the third term (2107) and you have one missing term, specifically the second term. If you divide the third term (2107) by the first term (43) then you get 49. And you know that 49 = 7 * 7. So, you reach the conclusion that you can multiply the first term (43) by 7 to get to the missing term and that you can multiply that missing term again by 7 to get to the third term (2107). That satisfies our "Geometric Sequence" requirement that each term is multiplied by a constant (the constant is 7, in this case).
So, if you multiply 43 by 7, you get 301 (the missing second term). And if you multiplied 301 again by 7 then you would get to the third term that was given in the question (2107).
