(a)
421₅ = 4×5² + 2×5¹ + 1×5⁰
… = 100 + 10 + 1
… = 111
(b)
11101₂ = 1×2⁴ + 1×2³ + 1×2² + 0×2¹ + 1×2⁰
… = 16 + 8 + 4 + 0 + 1
… = 29
(c)
13T₁₂ = 1×12² + 3×12¹ + 10×12⁰
… = 144 + 36 + 10
… = 190
Answer: option D is the correct answer
Step-by-step explanation:
In the given sequence, the consecutive terms differ by a common difference.
The formula for determining the nth term of an arithmetic sequence is expressed as
Tn = a + (n - 1)d
Where
a represents the first term of the sequence.
d represents the common difference.
n represents the number of terms in the sequence.
From the information given,
a = - 351
d = - 343 - - 351 = - 343 + 351
d = 8
Therefore, the explicit function which defines the sequence is
f(n) = - 351 + 8(n - 1)
f(n) = 8n - 8 - 351
f(n) = 8n - 359
Answer:
71 1/4 pans of lasagna
Step-by-step explanation:
4 cans of tomato sauce = 1 pan of lasagna
285 cans of tomato sauce = x pan of lasagna
4 = 1
285 = x
Cross product
4*x = 285*1
4x = 285
x = 285/4
x = 71 1/4 pans of lasagna
Answer:
B
Step-by-step explanation:
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