The n is replaced by the term number;
where there is no operator (add, subtract, multiply, divide, etc), a multiply is implied (as the multiply symbol could be confused with a letter x);
so the 10th term is:
10 x 10 - 8 = 100 - 8
= 92
The sequence given is an arithmetic progression where each term increases by 3. The first term is 5. To find the 10th term, use the formula for the nth term of an arithmetic sequence: ( a_n = a_1 + (n-1)d ), where ( a_1 ) is the first term and ( d ) is the common difference. Thus, the 10th term is ( 5 + (10-1) \times 3 = 5 + 27 = 32 ).
To find the 100th term in the pattern defined by the formula (6n - 1), substitute (n = 100) into the formula: [ 6(100) - 1 = 600 - 1 = 599. ] Thus, the 100th term is 599.
77
The given sequence appears to follow a specific pattern, where each term is generated by multiplying the previous term by a certain factor and then adding a constant. To find the 8th term, we need to establish the formula governing the sequence. However, without a clear formula or additional context, it's difficult to determine the exact 8th term. For precise calculation, analyzing the pattern or deriving a formula from the initial terms is necessary.
To find the 10th term of the expression (2n + 5), substitute (n) with 10. This gives you (2(10) + 5 = 20 + 5 = 25). Therefore, the 10th term is 25.
The sequence given is an arithmetic progression where each term increases by 3. The first term is 5. To find the 10th term, use the formula for the nth term of an arithmetic sequence: ( a_n = a_1 + (n-1)d ), where ( a_1 ) is the first term and ( d ) is the common difference. Thus, the 10th term is ( 5 + (10-1) \times 3 = 5 + 27 = 32 ).
To find the 100th term in the pattern defined by the formula (6n - 1), substitute (n = 100) into the formula: [ 6(100) - 1 = 600 - 1 = 599. ] Thus, the 100th term is 599.
130
The nth term is 0.37n+0.5 and the 10th term is 4.2
77
The sequence n plus 3 can be represented as 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, ... The 10th term of this sequence can be found by substituting n = 10 into the formula, which gives us 10 + 3 = 13. Therefore, the 10th term of the sequence is 13.
The given sequence appears to follow a specific pattern, where each term is generated by multiplying the previous term by a certain factor and then adding a constant. To find the 8th term, we need to establish the formula governing the sequence. However, without a clear formula or additional context, it's difficult to determine the exact 8th term. For precise calculation, analyzing the pattern or deriving a formula from the initial terms is necessary.
To find the 10th term of the expression (2n + 5), substitute (n) with 10. This gives you (2(10) + 5 = 20 + 5 = 25). Therefore, the 10th term is 25.
n = 100 + 7 = 107
The formula is 6n + 7 where n is the nth term So 8th term would be (6 x 8) + 7 = 48 + 7 = 55
To find the 15th number in a pattern from exercise 2, first identify the rule or formula that governs the sequence. If the pattern involves a simple arithmetic progression, you can use the formula for the nth term, which is typically given by ( a_n = a_1 + (n - 1)d ), where ( a_1 ) is the first term and ( d ) is the common difference. Substitute ( n = 15 ) into the formula to calculate the 15th term. If the pattern is more complex, analyze the specific relationships between terms to derive the appropriate formula.
The sequence provided is an arithmetic sequence where the first term is 3 and the common difference is 2. The formula for the nth term of an arithmetic sequence is given by ( a_n = a_1 + (n-1)d ), where ( a_1 ) is the first term and ( d ) is the common difference. For the 10th term, ( a_{10} = 3 + (10-1) \times 2 = 3 + 18 = 21 ). Thus, the 10th term of the sequence is 21.