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aleksklad [387]
3 years ago
9

Example 2 Determine the sum of the first 100 terms for the series 2+5+ 8 + ...​

Mathematics
2 answers:
mafiozo [28]3 years ago
8 0

Answer:

S₁₀₀ = 15050

Step-by-step explanation:

There is a common difference between consecutive terms

5 - 2 = 8 - 5 = 3

This indicates the sequence is arithmetic with sum to n terms

S_{n} = \frac{n}{2} [ 2a₁ + (n - 1)d ]

where a₁ is the first term and d the common difference

Here a₁ = 2 and d = 3 , then

S₁₀₀ = \frac{100}{2} [ (2 × 2) + (99 × 3) ]

       = 50 (4 + 297)

       = 50 × 301

       = 15050

balandron [24]3 years ago
5 0

Answer:

15050

Step-by-step explanation:

Hello!

So basically, this arithmetic sequence follows the rule (3n-1). What you are looking for is the summation of (3n-1) with a lower limit of 1 and an upper limit of 100. This, plugging it into a calculator (etc. symbolab) or even calculating it manually, we get ∑↑100↓n=1⇒3n-1=15050.

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Jim offers 15% off on a gallon of ice cream that costs $4.36. Which of the following will make Jeff's offer a better deal?
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<h3>Discount price</h3>

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Polynomials can be classified two different ways - by the number of terms and by their degree.

1. Number of terms.

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A binomial has two terms. For example: 5x2 -4x

A trinomial has three terms. For example: 3y2+5y-2

Any polynomial with four or more terms is just called a polynomial. For example: 2y5+ 7y3- 5y2+9y-2


Practice classifying these polynomials by the number of terms:

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8 0
3 years ago
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