Question

Q.2)
(a) The nth term of a sequence is 60-8n.
Find the largest number in this sequence.
​

Answer 1

Answer:

52

Step-by-step explanation:

1st term is =60-8=52

a2=60-16=44

a3=60-24=36

a4=60-32=28

a5=60-40=20

a6=60-48=12

....

sI the terms are 52,44,36,28, 20,12,4,-4,-12....

so the largest term is 52

Answer 2

SOLUTION

GIVEN

The nth term of a sequence is 60 - 8n

TO DETERMINE

The largest number in this sequence

EVALUATION

Here it is given that the nth term of a sequence is 60 - 8n

$\sf{Let \: a_n \: \: be \: the \: nth \: term \: of \: the \: sequence }$

$\sf \: Then \: \: \: a_n = 60 - 8n$

$\sf \therefore \: \: \: a_{n + 1}= 60 - 8(n + 1)$

$\sf \implies \: \: \: a_{n + 1}= 60 - 8n - 8$

$\sf \implies \: \: \: a_{n + 1}= 52 - 8n$

Now have

$\sf \: 60 > 52\:$

$\sf \implies \: 60 - 8n > 52 - 8n\:$

$\sf \implies \: \: a_{n } > \: a_{n + 1}$

So the given sequence is decreasing

Hence the largest term of the sequence

= First term of the sequence

$\sf = a_{1}$

$\sf = 60 - (8 \times 1)$

$\sf = 60 - 8$

$\sf = 52$

━━━━━━━━━━━━━━━━

Learn more from Brainly :-

$1.$ If the middle term of a finite AP with 7 terms is 21 find the sum of all terms of the AP

https://brainly.in/question/30198388

2. find the 100th term of an AP whose nth term is 3n+1

https://brainly.in/question/22293445

3. 2,7,12,17,...sum of 12 terms of this A. P. is

https://brainly.in/question/24134044