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Option a: add 3 to the previous term; 13, 16
Explanation:
The sequence is 1, 4, 7, 10, ....
We need to determine the next two terms of the sequence.
Hence to find the next two terms, first we shall find the common difference between every two terms.
Common difference between 1 and 4 =
Similarly, common difference between 4 and 7 =
Common difference between 7 and 10 =
Hence, the common difference is 3.
So, the next two terms will also have the same common difference 3.
To determine the next two terms, first we shall add 3 to the term 10, we get,
Similarly, adding 3 to the term 13, we get,
Thus, the sequence is 1, 4, 7, 10, 13, 16, .....
Thus, add 3 to the previous term; 13, 16
Hence, option a is the correct answer.
Answer: Jack has $42
Step-by-step explanation:
Let be "j" the amount of money in dollars that Jack has, "w" the amount of money in dollars that Walker has and "t" the amount of money in dollars that Trust has.
You know that they have $100 altogether, then you can write the following equation:
[Equation 1]
Jack has $20 more than Walker, then:
[Equation 2]
And Trust has $14 more than walker, then you can write this equation:
[Equation 3]
Substitute the Equation 2 and the Equation 2 into the first one:
Now, solve fo "w":
Finally, substiute the value of "w" into the Equation 2 and evaluate: