Sheila says that the number 364 is in the sequence 3n+5.Is she correct?Explain your answer
+36916 364 = 3n+5
359 = 3n
n = 119.666666.....
Nope, it is NOT in the sequence. The answer for 'n' needs to be a whole number, not a fraction or decimal.
+36916 364 = 3n+5
359 = 3n
n = 119.666666.....
Nope, it is NOT in the sequence. The answer for 'n' needs to be a whole number, not a fraction or decimal.
+7188 364 = 3n + 5
Subtract both sides by n.
364 - 5 = 3n + 5 - 5
359 = 3n
Divide both sides by 3.
359/3=3n/3
119.66666...=n
No, this cannot be true, for we need whole numbers to equal 'n' in our sequence.
+128473 Assume that there is some integer n , such that 3n + 5 = 364
3n + 5 = 364 subtract 5 from both sides
3n = 359
To be divisible by 3, the sum of a number's digits must be divisible by 3......but 3 + 5 + 9 = 17......and 17 isn't divisible by 3, so 359 isn't divisible by 3
Therefore....since our conclusion isn't possible, neither is our assumption....and 364 is not in the sequence of 3n + 5
