Question

Find the 105th term of the A.P. 4, 4.5,5,5.5

Answer 1

105th term of the AP is 55 as:

Answer 2

Answer:

$105^{th}\:term\: in \:given \\A.P \:=56$

Step-by-step explanation:

Given A.P: 4,4.5,5,5.5,...

First term (a) = 4

$Common\: difference (d)\\=a_{2}-a_{1}\\=4.5-4\\=0.5\\n = 105$

$we \: know \: that\\n^{th}\:term = a_{n}=a+(n-1)d$

$\implies a_{105}=4+(105-1)\times 0.5$

$=4+104 \times 0.5\\=4+52\\=56$

Therefore,

$a_{105}= 56$

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