The 25th term of the sequence 3, 7, 11, 15, 19 is 99.

Step-by-step explanation:

In solving a sequence, first, we must know what type of sequence it is. Then identify the equation in solving the unknown. Different types of sequences also have different corresponding equation for it.

For this problem, we are given with first five terms of the sequence, then we are asked for the 25th term.

Key in knowing the Type of Sequence:Subtracting the termsDividing the termsSolving to know the type of sequence:7 - 3 = 411 - 7 = 415 - 11 = 419 - 15 = 4

We can notice that there is a common difference (common difference is 4) between the terms, hence, the type sequence is arithmetic.

*Note that if we divide the subsequent terms and it happened to give a constant number, then the sequence is said to be geometric.

Formula for the nth term of an arithmetic sequence:aₙ = a₁ + (n - 1) (d) whereaₙ is the nth terma₁ is the first termn is the number of term we are looking ford is the common difference.Given:aₙ = ?a₁ = 3n = 25d = 4Solution:aₙ = a₁ + (n - 1) (d) aₙ = 3 + (25 - 1) (4)aₙ = 99

Therefore the 25th term of the sequence 3, 7, 11, 15, 19 is 99.

More information on arithmetic sequence here:

Read more about geometric sequence here:

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