A group of 44 friends meets for lunch. They greet each other by exchanging fist bumps. How many fist bumps are exchanged if each
1 answer:
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To add the variables, add the coefficients with same variable. The expression which is equivalent to given expression is . The option 2 is the correct option.
Equivalent expression are the expression whose result is equal to the original expression, but the way of representation is different.
Given information-
The expression given in the problem is,
Let the resultant expression of the above expression is . thus,
To add the algebraic terms open the brackets first,
Separate the same variable terms,
To add the variables, add the coefficients with same variable. Thus,
Hence, the expression which is equivalent to given expression is . The option 2 is the correct option.
Learn more about the equivalent expression here;
Let's take a look at the first few numbers in the sequence based on the given rule:
Inspecting this pattern it seems like the power
is being raised to is always one less than the number of the sequence, so if we were on the nth number in the sequence, that part of the expression would be 
. We also know that we'll be multiplying whatever we get from that by 6, so we can write the full explicit rule for our sequence as
Where
is the nth number in our sequence.
Inspecting this pattern it seems like the power
Where