16
Arithmetic
They are: 17+12 = 29 and 17-12 = 5
Tony is 12! because if his brother is 17 there would be 5 years difference between their agaes and 12+17=29!
The sequence interval is 2 4 6 8 ( this is the difference of number). so the missing number is -1 if I'm not mistaken.
29
t(n) = 12*n + 5
16
Arithmetic
They are: 17+12 = 29 and 17-12 = 5
The Least Common Multiple of 29 and 17 is 493.
The GCF of 17 and 29 is 1.1
21
The pattern of odd numbers
5, 11, 17, 23, 29
-29.
To find the common difference in the arithmetic sequence, we can use the formula for the nth term of an arithmetic sequence: (a_n = a_1 + (n-1)d), where (a_n) is the nth term, (a_1) is the first term, (n) is the term number, and (d) is the common difference. Given that 24 is the fifth term in a sequence of 10 numbers, we can set up the equation (24 = a_1 + 4d). We also know that there are 10 terms in the sequence, so the 10th term can be expressed as (a_{10} = a_1 + 9d). With this information, we can set up a system of equations to solve for the first term (a_1) and the common difference (d).