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How do you find the third term of an arithmetic sequence if t to the fifth equals negative one half and t to the ninth equals negative 1 over 128?
Wiki User
∙ 13y ago
The value of the nth term of an Arithmetic Progression is given by a + (n - 1)d, where a is the first term and d is the common difference.
t5 = a + (5 - 1)d = a + 4d = -1/2
t9 = a + (9 - 1)d = a + 8d = -1/128
Subtracting the first equation in bold from the second equation gives :-
4d = -1/128 - (-1/2) = -1/128 -(-64/128) = 63/128 therefore d = 63/(128x4) = 63/512
Substituting for d in the first equation a + (4x63)/512 = -1/2 : a = -1/2 - 252/512 = -508/512.
t3 = -508/512 + (3 - 1)63/512 = -508/512 + 126/512 = - 382/512 = -191/256
Wiki User
∙ 13y ago
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What is twenty to the negative fifth power?
Twenty to the negative 5th power equals 3.125e-7 or 3.125 x 10-7
The first term is 4 and the common difference is 3. the fifth term of this sequence is?
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.
Will a negative number to the fifth power be a positive or negative value?
The result will be a negative value.
What is 2 and 1 fifth plus 6 and 4 fifth?
That equals 9.
What is the difference between parenthese negative eight to the fifth power and negative eight to the fifth power?
No difference. (-8)5 = (-85) = -85
What is the fifth term of the arithmetic sequence 7 4 1?
As you are taking 3 away each time, the 5th term will be -5.
Can you explain a pattern in which 14 is the fifth term in a sequence of ten numbers?
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.
What is negative four over x negative twenty?
Your question is not very clear. Are you asking: solve for x where negative 4 over x equals negative 20. x equals 1/5 (one fifth)
What power of -2 is raised to get -32?
30
What is twenty to the negative fifth power?
Twenty to the negative 5th power equals 3.125e-7 or 3.125 x 10-7
What is the nth term for 3 7 11 15?
The nth term for that arithmetic progression is 4n-1. Therefore the next term (the fifth) in the sequence would be (4x5)-1 = 19.
What is A to the fifth?
The letter a is a variable. "To the fifth" means to the fifth power, or a*a*a*a*a. If a equals 3, "a to the fifth" equals 243.
The first term is 4 and the common difference is 3. the fifth term of this sequence is?
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.
Quotient that equals to 4 to the negative fifth power?
4 to the power -4is the same as: 1 / (4 to the power 4)
What is the first term of an arithmetic sequence with a common difference of 6 and a fifth term of 35?
35 minus 4 differences, ie 4 x 6 so first term is 11 and progression runs 11,17,23,29,35...
The first term of an arithmetic sequence 7 the tenth term is 34 what is the fifth term?
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
How many tenths equals one fifth?
Two tenths equals one fifth..
