Find the 40th term of the arithmetic sequence-2,1,4,7,10

Mathematics

2 answers:

klio [65]3 years ago

3 0

A40=a1 +(40-1)r
in this case r is 3 beceause -2+3 will be 1 etc
a40=-2 +39*3

lilavasa [31]3 years ago

3 0

Answer:

115

Step-by-step explanation:

The n th term of an arithmetic sequence is

$a_{n}$ = a₁ + (n - 1)d

where a₁ is the first term and d the common difference

Here a₁ = - 2 and d = 10 - 7 = 7 - 4 = 3, thus

$a_{40}$ = - 2 + (3 × 39) = - 2 + 117 = 115

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