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27.5 (3.5, 5.5, 7.5, 9.5)
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∙ 14y ago
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Is the triangle right obtuse or acute 12 15 18?
Acute.
Find the quadratic sequences nth term for these 4 sequences which are separated by the letter i iii 7 10 15 22 21 42 iii 2 9 18 29 42 57 iii 4 15 32 55 85 119 iii 5 12 27 50 81 120?
Check if the given sequences are quadratic sequences. 7 10 15 22 21 42 The first difference: 3 5 7 1 21. The second difference: 2 2 6 20. Since the second difference is not constant, then the given sequence is not a quadratic sequence. 2 9 18 29 42 57 The first difference: 7, 9, 11, 13, 15. The second difference: 2 2 2 2. Since the second difference is constant, then the given sequence is a quadratic sequence. Therefore, contains a n2 term. Let n = 1, 2, 3, 4, 5, 6, ... Now, let's refer the n2 terms as, 1, 4, 9, 16, 25, 36. As you see, the terms of the given sequence and n2 terms differ by 1, 5, 9, 13, 17, 21 which is an arithmetic sequence,say {an} with a common difference d = 4 and the first term a = 1. Thus, the nth term formula for this arithmetic sequence is an = a + (n - 1)d = 1 + 4(n - 1) = 4n - 3. Therefore, we can find any nth term of the given sequence by using the formula, nth term = n2 + 4n - 3 (check, for n = 1, 2, 3, 4, 5, 6, ... and you'll obtain the given sequence) 4 15 32 55 85 119 The first difference: 11, 17, 23, 30, 34. The second difference: 6 6 7 4. Since the second difference is not constant, then the given sequence is not a quadratic sequence. 5 12 27 50 81 120 The first difference: 7, 15, 23, 31, 39. The second difference: 8 8 8 8. Since the second difference is constant, then the given sequence is a quadratic sequence. I tried to refer the square terms of sequences such as n2, 2n2, 3n2, but they didn't work, because when I subtracted their terms from the terms of the original sequence I couldn't find a common difference among the terms of those resulted sequences. But, 4n2 works. Let n = 1, 2, 3, 4, 5, 6, ... Now, let's refer the 4n2 terms as, 4, 16, 36, 64, 100, 144. As you see, the terms of the given sequence and 4n2 terms differ by 1, -4, -9, -14, -19, -24 which is an arithmetic sequence, say {an} with a common difference d = -5 and the first term a = 1. Thus, the nth term formula for this arithmetic sequence is an = a + (n - 1)d = 1 -5(n - 1) = -5n + 6. Therefore, we can find any nth term of the given sequence by using the formula, nth term = 4n2 - 5n + 6 (check, for n = 1, 2, 3, 4, 5, 6, ... and you'll obtain the given sequence)
How many 18 inch flags are in 15 square meters?
1,291 flags.
What is the length of a new pencil in centimeters?
around 14, 15 centimeters
What are the next three terms in the geometric sequence 2 6 18 54?
Each number is 3 times the previous number so they would be 162, 486, and 1,458.
What is 105 divided by 18?
5.8333
What number is 18 percent of 105?
18% of 105= 18% * 105= 0.18 * 105= 18.9
What is greatest common factor of 90 and 105?
Factors of 90: 1, 2, 3, 5, 6, 9, 10, 15, 18, 30, 45, 90 Factors of 105: 1, 3, 5, 7, 15, 21, 35, 105 GCF (90, 105) = 15
What are the release dates for The Daily Show - 1996 Edward Kohn 15-105?
The Daily Show - 1996 Edward Kohn 15-105 was released on: USA: 18 August 2010
The number which of best complete the sequence below is3 4 6 9 13?
18
What is 18 over 7 multiplied by 8 over 15?
18/7 x 8/15 = 144/105 = 48/35 or 1 and 13/35
What number comes next in the sequence 6 12 9 18 15?
6 12 9 18 15 30 27 54 51
What is 7 over 9 divided by 2 over 15?
105/18 or 35/6
What number should come next in the following sequence 18 21 17 20 16 19 15?
18
Factors of 90 and 105?
1, 2, 3, 5, 6, 9, 10, 15, 18, 30, 45, 90 1, 3, 5, 7, 15, 21, 35, 105
Wholesale price 18 Markup percent 105?
Selling price = 18 + 18 x 105% = 18 + 18 x 105/100 = 36.90
What is the next term in the following sequence of numbers 2 6 3 9 6 18 and why?
15 since you multiply by 3 then subtract 3 in sequence
