1. ## Sequence and Series

1. The sum of the first and fourth terms of an AP is 16, and the sum of the third and eighth terms is 4. Find the sum of the first 10 terms.

2. The sum to 16 terms of an AP is 96, and the sum go the second and fourth terms is 45. Find the fourth term and show that the sum to four terns is also 96.

2. ## Re: Sequence and Series

Let the AP be $a,\, a+d,\,a+2d...$

Then, $a,\, a+d,\,a+2d,\, a+3d =4a+6d=16$

and $a + 2d + a + 7d = 2a + 9d = 4$

4. ## Re: Sequence and Series

Thank you so much í ¼í¼¹

5. ## Re: Sequence and Series

Could you help (Herowise) with these ones Iâ€™m so stuck.

1. A truck spends several days depositing truckloads of gravel from a quarry at equally spaced intervals along a straight road. The first load is deposited 20 km from the quarry, the last is 10 km further along the road. If the truck travels 550km during the day, how many trips does it make and how far apart are the deposits?

2. Find the sums of these APâ€™s
A) log (b) 36+ log(b) 18+ log(b) 9 +...log(b) 9/8
B) log (x) 27/8 + log (x) 9/4 + log(x) 3/2+ ...(10 terms)

6. ## Re: Sequence and Series

Originally Posted by HeroWise

Thank you so so much

1. A truck spends several days depositing truckloads of gravel from a quarry at equally spaced intervals along a straight road. The first load is deposited 20 km from the quarry, the last is 10 km further along the road. If the truck travels 550km during the day, how many trips does it make and how far apart are the deposits?

2. Find the sums of these APâ€™s
A) log (b) 36+ log(b) 18+ log(b) 9 +...log(b) 9/8
B) log (x) 27/8 + log (x) 9/4 + log(x) 3/2+ ...(10 terms)

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