Use the appropriate formula to find the indicated figurate number.
-the 14th hexagonal number
A) $\mathrm { H } _ { 14 } = 336$
B) $\mathrm { H } _ { 14 } = 378$
C) $\mathrm { H } _ { 14 } = 406$
D) $\mathrm { H } _ { 14 } = 112$

Question

Quizplus · Accepted Answer

The formula for the nth hexagonal number is $ H_n = 2n^2 - n $. Plugging in n = 14, we get $ H_{14} = 2(14)^2 - 14 = 392 - 14 = 378 $.

Use the Appropriate Formula to Find the Indicated Figurate Number H14=336\mathrm { H } _ { 14 } = 336H14​=336

Use the Appropriate Formula to Find the Indicated Figurate Number $\mathrm { H } _ { 14 } = 336$