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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?
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
What else can I help you with?
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 does they mean by the fifth term in a sequence of ten numbers?
The fifth term in a sequence of ten numbers refers to the number that occupies the fifth position when the sequence is ordered from the first to the tenth term. For example, in the sequence 3, 7, 1, 4, 9, 2, 8, 5, 6, 10, the fifth term is 9. Identifying the fifth term is essential for understanding the sequence's progression or pattern.
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.
What is fifth term?
The fifth term typically refers to the fifth element in a sequence or series, which can vary depending on the context (such as a mathematical series, a list, or a pattern). Without additional context, it is impossible to determine what the fifth term is. If you provide a specific sequence or series, I can help identify the fifth term.
What is the answer to 4 divided by one fifth?
To divide 4 by one fifth, you can multiply 4 by the reciprocal of one fifth. The reciprocal of one fifth is 5. Therefore, 4 divided by one fifth equals 4 × 5, which equals 20.
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 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.
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.
Quotient that equals to 4 to the negative fifth power?
4 to the power -4is the same as: 1 / (4 to the power 4)
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.
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...
How many tenths equals one fifth?
Two tenths equals one fifth..
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
