Find the Next Term in Sequence: 10, 20, 25, 35, 40, ?

Video Solution

Solution Steps

00:00 Find the 6th term in the sequence

00:03 Let's observe the change between consecutive terms

00:10 We can see that the change of change is also constant, so we can calculate

00:20 We'll deduce the next terms from the pattern

00:25 Let's calculate and substitute

00:32 And this is the solution to the problem

Step-by-Step Solution

To solve this problem, we'll determine the next term in the sequence according to a discernible pattern:

Step 1: Identify the differences between consecutive terms. The differences are $10, 5, 10, 5$ .
Step 2: Recognize the alternating pattern $+10, +5$ .
Step 3: Continue the discovered pattern after the last given term.

By examining the pattern, we see:

Starting from 40, since the last increment was $+5$ , the next increment should be $+10$ .

Therefore, the next term $40 + 10 = 50$ .

Hence, the 6th element of the series is $50$ .

The correct choice given the options is choice 4: $50$ .