Find the 15th term , whose 5th term is 29 and 15th term is 79 . and also find the 55th term. give me in detailed pls
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Answer:
value of 15th term is 79 and value of 55th term is 279.
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Step-by-step explanation:
They have given that 5th term is 29 and 15th term is 79.
therefore a5=29
a+4d=29................(1)
and
a15=79
a+14d=79...............(2)
subtract equation (1) and (2)
a+4d=29
a+14d=79
- - -
_________
0 -10d=-50
d= -50/-10
d=5
therefore put d=5 in equation (1)
a+4d=29
a+4×5=29
a+20=29
a=29-20
a=9
therefore a15=?
a15=a+14d
a15=9+14×5
a15=9+70
a15=79
therefore a15=79
and a55=?
a55=a+54d
a55=9+54×5
a55=9+270
a55=279
This is the answer
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