Which of the following summations represent the series shown? Check all that apply.
2 answers:
You might be interested in
Answer:
1655
Step-by-step explanation:
Note the common difference d between consecutive terms of the sequence
d = - 1 - (- 4) = 2 - (- 1) = 5 - 2 = 8 - 5 = 3
This indicates the sequence is arithmetic with sum to n terms
=
[ 2a₁ + (n - 1)d ]
Here a₁ = - 4, d = 3 and n = 90, thus
=
[ (2 × - 4) + (89 × 3) ] = 45(- 8 + 267) = 45 × 259 = 1655
Answer:
Step-by-step explanation:
Start by finding the LCM of the coefficients of each polynomial:
Next, to find the least common multiple of each of the following terms, we need to take the absolute minimum we can of each term (,
, and
). The largest term of
is
in the first polynomial, so we'll take exactly that for our
term in the LCM, absolutely nothing more. Similarly, the largest term of
in any of the three polynomials is
(also in the first polynomial) and the largest
term in any of the three polynomials is
in the second polynomial. Thus, the LCM of all our polynomials is: