n^th term is:
n (position in sequence) 1 2 3 4 10 n
value of term 17 20 23 26 a b
a =
b=
To find the value of term a, we can use the formula for the nth term:
n (position in sequence) 1 2 3 4 10 n
value of term 17 20 23 26 a b
Since the position in sequence for term a is given as 10, we substitute n = 10 into the formula:
a = 10
To find the value of term b, we can use the same formula:
b = n
Since the position in sequence for term b is given as n, we substitute n = n into the formula:
b = n
Therefore, the value of term a is 10 and the value of term b is n.
To find the values of 'a' and 'b' in the sequence, we need to determine the pattern in the given sequence.
Notice that the sequence increases by 3 for each position. So, we can write the formula for the 'n-th' term as:
n-th term = 17 + (n - 1) * 3
Now, let's substitute the given positions (n) and their respective values to solve for 'a' and 'b'.
When n = 4:
4th term = 17 + (4 - 1) * 3
4th term = 17 + 3 * 3
4th term = 17 + 9
4th term = 26
Therefore, the value of the 4th term is 26. So, we have determined the value of 'b':
b = 26
Similarly, when n = 10:
10th term = 17 + (10 - 1) * 3
10th term = 17 + 9 * 3
10th term = 17 + 27
10th term = 44
Therefore, the value of the 10th term is 44. So, we have determined the value of 'a':
a = 44
Hence, the values of 'a' and 'b' are:
a = 44
b = 26