Question

find the 50th term of the sequence 5,-2,-9,-16

Answer 1

first term is 5
difference = 5
no. of terms are 50
a+(n-1)d = a power n
5+(50-1)5 = a power n
250

Answer 2

Answer:

50th term in given sequence = -338

Step-by-step explanation:

Given sequence 5,-2,-9,-16,...

First term (a)=5,

$a_{2}-a_{1}=-2-5=-7$

$a_{3}-a_{2}=-9-(-2)=-7$

Therefore,

$a_{2}-a_{1}=a_{3}-a_{2}=-7$

Common difference (d)=-7

Therefore,

Given sequence is in A.P

/* We know that,

$\boxed {n^{th}\: term =a_{n}=a+(n-1)d$*/

Here ,

n = 50

$a_{50}=5+(50-1)(-7)$

$\implies a_{50}=5+49(-7)\\=5-343\\=-338$

Therefore,

50th term in given sequence = -338

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