Share
a 13 = 254 and a 33 = 654 Find a 27
Question
a
13 = 254 and a
33 = 654
Find a
27
in progress
0
Mathematics
3 years
2021-08-29T20:21:01+00:00
2021-08-29T20:21:01+00:00 1 Answers
1 views
0
Answers ( )
Answer:
The value of a₂₇ is 294
Step-by-step explanation:
a₁₃ = 254
a₃₃ = 654
Now,
a₁₃ = 254 can be written as
a + 12d = 254 …(1) and
a₃₃ = 654 can be written as
a + 32d = 654 …(2)
Now, from equation (2) we get,
a + 32d = 654
a + 12d + 20d = 654
254 + 20d = 654 (.°. a + 12d = 254)
20d = 654 – 254
20d = 400
d = 400 ÷ 20
d = 20
Now, for the value of a put the value of d = 20 in equation (1)
a + 12d = 254
a + 12(20) = 254
a + 240 = 254
a = 254 – 240
a = 14
Now, For a₂₇
a₂₇ = a + 26d
a₂₇ = 14 + 9(20)
a₂₇ = 14 + 180
a₂₇ = 294
Thus, The value of a₂₇ is 294
-TheUnknownScientist