I guess the first term should be -1 and not 1, then:
The common difference of {-1, 4, 9, 14, 19, ...} is 5.
Thus the nth term is given by 5n - 6
→ 17th term is 5×17 - 6 = 79.
The 90th term of the arithmetic sequence is 461
It is a + 8d where a is the first term and d is the common difference.
The mean
10,341
The constant increment.
The 90th term of the arithmetic sequence is 461
If the 1st to 5th terms of the sequence are all 5, it suggests that the sequence is constant. Therefore, the 17th term of the sequence would also be 5. Thus, the 17th term is 5.
The nth term of an arithmetic sequence = a + [(n - 1) X d]
In an arithmetic sequence, "a" typically represents the first term of the sequence. An arithmetic sequence is defined by a constant difference between consecutive terms, known as the common difference (d). The n-th term of the sequence can be expressed as ( a_n = a + (n-1)d ), where ( a_n ) is the n-th term, ( a ) is the first term, and ( n ) is the term number.
It is a + 8d where a is the first term and d is the common difference.
What is the 14th term in the arithmetic sequence in which the first is 100 and the common difference is -4? a14= a + 13d = 100 + 13(-4) = 48
The mean
It is: 0.37*term+0.5
10,341
The constant increment.
It is an arithmetic sequence if you can establish that the difference between any term in the sequence and the one before it has a constant value.
It is an Arithmetic Progression with a constant difference of 11 and first term 15.