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A theater has 32 rows of seats. If there are 26 seats in the 1st row, 30 in the 2nd, 34 in the 3rd, and so on, how many seats are there in all?

Sagot :

Answer:

We can describe the 32 rows of

seat as an arithmetic sequence with a

common difference of 4 and first term of

26.

We can use the Arithmetic Series formula

to get the total number of chairs.

a1 26

d = 4

n = 32

$32 ?

$32 n/2 [2a1 + (n-1)d]

$32 32/2 [2(26) + (32-1)4]

s32 16 (52 +124)

$32 16 (176)

S32 = 2816

Therefore, the total number of seats is

2816.