We read your photo as:

Calculate the first pentagonal number using the formula Pn = n(3n−1)/2.

Mathematics

ScanSolve AI Answer

Step-by-step solution

3 steps

The image shows the formula for the nn-th pentagonal number, Pn=n(3n−1)2P_n = \frac{n(3n-1)}{2}.
The student is calculating P1P_1 by substituting n=1n=1 into the formula.

  1. Substitute n=1n=1 into the formula.

    P1=1(3(1)−1)2P_1 = \frac{1(3(1)-1)}{2}

  2. Simplify the expression inside the parenthesis.

    P1=1(3−1)2P_1 = \frac{1(3-1)}{2} P1=1(2)2P_1 = \frac{1(2)}{2}

  3. Perform the multiplication and division.

    P1=22P_1 = \frac{2}{2} P1=1P_1 = 1

    The student's calculation is correct.

    ✅ Correct.

Was this helpful?

Still stuck on this one?

Ask a follow-up, and the answer starts from this question.

Got a different question?Ask your own question

More Mathematics Questions

QIf (^n C2)/(^n P3) = (1)/(10), find the value of n.QSolve the equation ^nP3 = 24 ^nC4 for n.QCalculate the interior angle of a regular pentagon.QConsider the following sequence of pentagonal numbers: 1, 5, 12, 22, 35. a) What is the next number…QTwo pentagonal solids with faces numbered 3-7 and 6-10 are rolled. What is the probability of…
See all Mathematics questions →
Got a syllabus? Photograph it and I'll tell you what's due and what's worth the most.
Handwritten step-by-step solution preview

Handwritten Step-by-Step Solution

Get this as a handwritten image on WhatsApp — like a tutor wrote it for you.

Try on WhatsApp