What is the first five terms of the sequence with a pattern of an = n2 + 4? What is the 50th term of the sequence an = 4n - 3?

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Step-by-step explanation:

To obtain the first 5 terms, substitute n = 1, 2, 3, 4, 5 into the rule, that is

a₁ = 1² + 4 = 1 + 4 = 5

a₂ = 2² + 4 = 4 + 4 = 8

a₃ = 3² + 4 = 9 + 4 = 13

a₄ = 4² + 4 = 16 + 4 = 20

a₅ = 5² + 4 = 25 + 4 = 29

The first 5 terms are 5, 8, 13, 20, 29

To obtain the 50 th term substitute n = 50 into the rule

a₅₀ = 4(50) - 3 = 200 - 3 = 197

the sum of the lengths of any two sides of a triangle is greater than the length of the third side. if you take the three sides of a triangle and add them in pairs, the sum is greater than (not equal to) the third side. if that is not true, then it is not possible to construct a triangle with the given side lengths.

step-by-step explanation: