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In an arithmetic progression six times the sixteenth term?
If a is the first term and r the common difference, then the nth term is tn = a * (n-1)r So t16 = a + 15r Then 6*t16 = 6(a + 15r) or 6a + 90r No further simplifiaction is possible.
What is first term of a geometric series is 3 and the sum of the first term and the second term is 15 What is the sum of the first six terms?
In a geometric series, if the first term ( a ) is 3 and the sum of the first and second terms is 15, we can denote the common ratio as ( r ). Therefore, we have ( 3 + 3r = 15 ), which simplifies to ( 3r = 12 ) or ( r = 4 ). The sum of the first six terms can be calculated using the formula ( S_n = a \frac{1 - r^n}{1 - r} ). Substituting ( a = 3 ), ( r = 4 ), and ( n = 6 ), we get ( S_6 = 3 \frac{1 - 4^6}{1 - 4} = 3 \frac{1 - 4096}{-3} = 4095 ).
What is the name of a polynomial with 6 terms?
A polynomial with six terms is commonly referred to as a "hexonomial." The term "hexonomial" combines "hexa," meaning six, with "monomial," which refers to a single term in a polynomial. Each term in a hexonomial can have varying degrees and coefficients, contributing to the overall expression.
What is the name of polynomial with 6 terms?
A polynomial with six terms is commonly referred to as a "hexomial." The term "hexomial" comes from the prefix "hexa-" meaning six, indicating the number of terms present in the polynomial. Each term in a hexomial can have varying degrees and coefficients, contributing to the overall structure of the polynomial.
What is the sum of the first six terms of the geometric sequence 1 4 16?
The given geometric sequence is 1, 4, 16, where the first term ( a = 1 ) and the common ratio ( r = 4 ). To find the sum of the first six terms, we calculate the sixth term: ( a_6 = a \cdot r^{5} = 1 \cdot 4^5 = 1024 ). The sum of the first ( n ) terms of a geometric sequence is given by the formula ( S_n = a \frac{r^n - 1}{r - 1} ). Thus, the sum of the first six terms is ( S_6 = 1 \cdot \frac{4^6 - 1}{4 - 1} = \frac{4096 - 1}{3} = \frac{4095}{3} = 1365 ).
What is the sum of first six terms of a sequence whose nth term is 8 - n?
nth term is 8 - n. an = 8 - n, so the sequence is {7, 6, 5, 4, 3, 2,...} (this is a decreasing sequence since the successor term is smaller than the nth term). So, the sum of first six terms of the sequence is 27.
The sum of the first 5 terms of an arithmetic series is 85. The sum of the first 6 terms is 123. Determine the first four terms of the series.?
Suppose the first term is a, the second is a+r and the nth is a+(n-1)r. Then the sum of the first five = 5a + 10r = 85 and the sum of the first six = 6a + 15r = 123 Solving these simultaneous equations, a = 3 and r = 7 So the first four terms are: 3, 10, 17 and 24
What is the nth term in 8 17 30 47 68 93?
four hundred and nity six
In an arithmetic progression six times the sixteenth term?
If a is the first term and r the common difference, then the nth term is tn = a * (n-1)r So t16 = a + 15r Then 6*t16 = 6(a + 15r) or 6a + 90r No further simplifiaction is possible.
How many terms can serve as a senator?
they serve a term of six years i do not think there is a limit to how many terms they can serve but i know the term is served for six years
How many terms can a person serve as senator?
they serve a term of six years i do not think there is a limit to how many terms they can serve but i know the term is served for six years
What is the sum of first six terms of a sequence whose nth term is 4n-2?
The first 6 terms would be when n is 1, 2, 3, 4, 5, and 6. And since the nth term is 3 - 4n, you would simply substitute the first six numbers for n:* n = 1; 3 - 4(1); 3 - 4; -1 * n = 2; 3 - 4(2); 3 - 8; -5 * n = 3; 3 - 4(3); 3 - 12; -9 * n = 4; 3 - 4(4); 3 - 16; -13 * n = 5; 3 - 4(5); 3 - 20; -17 * n = 6; 3 - 4(6); 3 - 24; -21 -1, -5, -9, -13, -17, -21
Who serves a term for 6 years?
A senator has a six year term limit. However, there are no set amount of terms a senator can serve. Thus, they can serve as many terms as they are elected to.A senator has a six year term limit. However, there are no set amount of terms a senator can serve. Thus, they can serve as many terms as they are elected to.A senator has a six year term limit. However, there are no set amount of terms a senator can serve. Thus, they can serve as many terms as they are elected to.A senator has a six year term limit. However, there are no set amount of terms a senator can serve. Thus, they can serve as many terms as they are elected to.A senator has a six year term limit. However, there are no set amount of terms a senator can serve. Thus, they can serve as many terms as they are elected to.A senator has a six year term limit. However, there are no set amount of terms a senator can serve. Thus, they can serve as many terms as they are elected to.
How long is the term senators serve when elected?
Six-year terms
What is the limit of terms of the senate?
Each term lasts six years, and there is no limit to the number of terms a senator can have.
What is the term of a US Senator?
Six years is the terms they are elected for.
How long is the length of the US senate terms?
The length of a US Senate term is six years.
