What is the 92nd term of the arithmetic sequence 11,19,27

the 92nd term of the arithmetic sequence 739

Step-by-step explanation:

In an arithmetic sequence, consecutive terms differ by a common difference. The formula for determining the nth term of an arithmetic sequence is expressed as

an = a1 + (n - 1)d

Where

a1 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 = 11

d = 19 - 11 = 8

n = 92

We want to determine the value of the 92nd term, a92. Therefore,

a92 = 11 + (92 - 1)8

a92 = 11 + 728

a92 = 739

δabc ≅ δdcb by sas because

db ≅ ac . . given (side)

bc ≅ bc . . reflexive property (side)

∠dbc ≅ ∠ acb . . alternate interior angles where transversal bc crosses parallel lines bd and ac (included angle)