Oh honey, looks like we're counting down by 4 each time. So, if we keep that pattern going, the next number would be 5. So, the nth term in this sequence is 21 - 4n, where n is the position of the term in the sequence.
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Oh, dude, it's like you're trying to make me do math or something. Okay, so the pattern here is just subtracting 4 each time, right? So, if you start at 21 and subtract 4 three times, you get to 9. So, the nth term would be 21 - 4n. Easy peasy lemon squeezy.
Oh, what a lovely sequence you have there! To find the nth term, we can see that the sequence is decreasing by 4 each time. So, if we let n represent the term number, the nth term can be found using the formula 25 - 4n. Keep exploring the beauty of patterns in sequences, my friend!
It is 4n+5 and so the next term will be 25
The nth term is 5n-3 and so the next term will be 22
5
The nth term in the arithmetic progression 10, 17, 25, 31, 38... will be equal to 7n + 3.
You can see that all the numbers go up by 7. This means that the first part of the nth term rule for this sequence is 7n. Now, you have to find out how to get from 7 to 3, 14 to 10, 21 to 17 ... this is because we are going up in the 7 times table. To get from the seventh times table to the sequence, you take away four. So the answer is : 7n-4