Fifth root of -243 is -3.
The mean, median, and mode are not always equal. For example, consider the set of 5 values {2, 3, 5, 10, 10}. The arithmetic mean is 6. (The values sum to 30, and 30 divided by 5 is 6.) The median is 5. (The middle number of the 5 values, when sorted, is 5.) The mode is 10. (The value 10 appears most often in the set.) And, you probably didn't ask, but: The geometric mean is the fifth root of 3000, or about 4.96. The harmonic mean is 150 divided by 37, or about 4.05. The quadratic mean is the square root of 47.6, or about 6.9. Although the word "average" can technically be used to describe all of these values, in common parlance the word "average" refers to just the arithmetic mean.
The fifth root of fifteen = 1.718772
10 to the fifth power = 105
1024 * * * * * That is 4 to the fifth power. The question asked about the NEGATIVE fifth power. For the question that was asked, the answer is 1/1024
To find the common difference in the arithmetic sequence, we can use the formula for the nth term of an arithmetic sequence: (a_n = a_1 + (n-1)d), where (a_n) is the nth term, (a_1) is the first term, (n) is the term number, and (d) is the common difference. Given that 24 is the fifth term in a sequence of 10 numbers, we can set up the equation (24 = a_1 + 4d). We also know that there are 10 terms in the sequence, so the 10th term can be expressed as (a_{10} = a_1 + 9d). With this information, we can set up a system of equations to solve for the first term (a_1) and the common difference (d).
The nth term of a arithmetic sequence is given by: a{n} = a{1} + (n - 1)d → a{5} = a{1} + (5 - 1) × 3 → a{5} = 4 + 4 × 3 = 16.
As you are taking 3 away each time, the 5th term will be -5.
It is not possible to explain because you have not specified the nature of the sequence. A sequence can be an arithmetic, or geometric progression, increasing or decreasing. Or it can be a polynomial or power progression, again increasing or decreasing. Or it can be a sequence of random numbers.
The nth term for that arithmetic progression is 4n-1. Therefore the next term (the fifth) in the sequence would be (4x5)-1 = 19.
Some number x is added to 7 for every number in the sequence. So, the second number is 7+x, the third number is 7+2x... So the tenth number is 7+9x = 34. Solve for x, x=3. The fifth number is 7+4x, which is 7+(4*3), which is 19
It is a*r^4 where a is the first term and r is the common ratio (the ratio between a term and the one before it).
Ok, take the formula dn+(a-d) this is just when having a sequence with a common difference dn+(a-d) when d=common difference, a=the 1st term, n=the nth term - you have the sequence 2, 4, 6, 8... and you want to find the nth term therefore: dn+(a-d) 2n+(2-2) 2n Let's assume you want to find the 5th term (in this case, the following number in the sequence) 2(5) = 10 (so the fifth term is 10)
The one after "third" but before "fifth" in a sequence.
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Suppose A is the first term and R is common difference. Then, if t(n) is the nth term, t(n) = A + n*R Then t(5) = A + 5R and t(3) = A + 3R so that t(5) - t(3) = 2R Now t(1) = A + R = A + 3R - 2R (since R = 3R - 2R) So t(1) = t(3) - 2R You were given t(3) and have calculated 2R above, so can work out t(1).