They are 7, 10, 13, 16 and 19.
4, 6, 8, 10, 12
The formula (21n) represents a sequence where (n) is a positive integer. To find the first five terms, substitute (n) with values from 1 to 5: For (n = 1), the term is (21 \times 1 = 21). For (n = 2), the term is (21 \times 2 = 42). For (n = 3), the term is (21 \times 3 = 63). For (n = 4), the term is (21 \times 4 = 84). For (n = 5), the term is (21 \times 5 = 105). Thus, the first five terms are 21, 42, 63, 84, and 105.
The sum of the first five terms of a geometric series can be calculated using the formula ( S_n = a_1 \frac{1 - r^n}{1 - r} ), where ( a_1 ) is the first term, ( r ) is the common ratio, and ( n ) is the number of terms. Here, ( a_1 = 6 ), ( r = 13 ), and ( n = 5 ). Substituting these values into the formula gives: [ S_5 = 6 \frac{1 - 13^5}{1 - 13} = 6 \frac{1 - 371293}{-12} = 6 \cdot \frac{-371292}{-12} = 6 \cdot 30939 = 185634 ] Thus, the sum of the first five terms is 185634.
In mathematics, the "first five terms" typically refers to the initial five elements of a sequence or series. For example, in an arithmetic sequence, if the first term is 2 and the common difference is 3, the first five terms would be 2, 5, 8, 11, and 14. This concept is often used to analyze patterns, behaviors, or properties of sequences.
To compute the first five partial sums of the arithmetic series given by ( a_n = -5(n - 1) + 8 ), you can use a spreadsheet like Microsoft Excel or Google Sheets. First, generate the first five terms of the series by substituting ( n ) values from 1 to 5 into the formula. Then, create a column to calculate the partial sums by adding each term cumulatively. Finally, use a formula to sum the terms and display the results in another column.
They are 7, 10, 13, 16 and 19.
4, 6, 8, 10, 12
The formula (21n) represents a sequence where (n) is a positive integer. To find the first five terms, substitute (n) with values from 1 to 5: For (n = 1), the term is (21 \times 1 = 21). For (n = 2), the term is (21 \times 2 = 42). For (n = 3), the term is (21 \times 3 = 63). For (n = 4), the term is (21 \times 4 = 84). For (n = 5), the term is (21 \times 5 = 105). Thus, the first five terms are 21, 42, 63, 84, and 105.
A single number, such as 3461018, does not make a pattern.
The sum of the first five terms of a geometric series can be calculated using the formula ( S_n = a_1 \frac{1 - r^n}{1 - r} ), where ( a_1 ) is the first term, ( r ) is the common ratio, and ( n ) is the number of terms. Here, ( a_1 = 6 ), ( r = 13 ), and ( n = 5 ). Substituting these values into the formula gives: [ S_5 = 6 \frac{1 - 13^5}{1 - 13} = 6 \frac{1 - 371293}{-12} = 6 \cdot \frac{-371292}{-12} = 6 \cdot 30939 = 185634 ] Thus, the sum of the first five terms is 185634.
All but John Adams served two terms. The total of the first five was nine terms or 36 years (almost - Washington's first term was about an month short.)
In mathematics, the "first five terms" typically refers to the initial five elements of a sequence or series. For example, in an arithmetic sequence, if the first term is 2 and the common difference is 3, the first five terms would be 2, 5, 8, 11, and 14. This concept is often used to analyze patterns, behaviors, or properties of sequences.
To compute the first five partial sums of the arithmetic series given by ( a_n = -5(n - 1) + 8 ), you can use a spreadsheet like Microsoft Excel or Google Sheets. First, generate the first five terms of the series by substituting ( n ) values from 1 to 5 into the formula. Then, create a column to calculate the partial sums by adding each term cumulatively. Finally, use a formula to sum the terms and display the results in another column.
The simplest formula is: t(n) = 2n + 5 for n = 1, 2, 3, ... However, that is not the only formula; there are infinitely many polynomial formulae that can be found that give those five terms first, but for the 6th or further terms vary.
The sequence 4n + 7 represents a linear sequence where n is the position in the sequence. To find the first five terms, substitute n with 1, 2, 3, 4, and 5 respectively. Thus, the first five terms are 11, 15, 19, 23, and 27.
7
To find the sum of the first five terms of a geometric series, we use the formula ( S_n = a_1 \frac{1 - r^n}{1 - r} ), where ( a_1 ) is the first term, ( r ) is the common ratio, and ( n ) is the number of terms. Here, ( a_1 = 20 ), ( r = 14 ), and ( n = 5 ). Plugging in the values, we get: [ S_5 = 20 \frac{1 - 14^5}{1 - 14} = 20 \frac{1 - 537824}{-13} = 20 \cdot \frac{-537823}{-13} = 20 \cdot 41401 = 828020. ] Thus, the sum of the first five terms is 828020.