Directions: Identify the incorrect term in the given numerical sequence.

50, 65, 98, 149, 218, 310, 410

The correct answer is 310.

Step-by-step Explanation:

Let us analyze the differences between consecutive terms in the given numerical sequence:

$65-50=15$

$98-65=33$

$149-98=51$

$218-149=69$

Now, let us examine the differences between these consecutive first-difference values (second differences):

$33-15=18$

$51-33=18$

$69-51=18$

We observe that the second difference is constant and equal to 18. This means the first differences increase by 18 at each step, forming the sequence of differences:

$15,33,51,69,87,105$

Using this pattern, let us calculate each term of the correct sequence from the beginning:

First term = 50

Second term = $50+15=65$

Third term = $65+33=98$

Fourth term = $98+51=149$

Fifth term = $149+69=218$

Sixth term = $218+87=305$

Seventh term = $305+105=410$

Therefore, the sixth term in the sequence should be 305 instead of 310.

Thus, the incorrect term in the given sequence is 310.