PA HELP PO MGA GUYSSS MGA MATATALINO PO JAN SA MATH PA HELP HEHEThe third term of a geometric sequence is 144 and the sixth term is 486. Find the 8th term.. Created by firevending123. Math

PA HELP PO MGA GUYSSS MGA MATATALINO PO JAN SA MATH PA HELP HEHEThe third term o...

Answer:

$a_{8} = \frac{2187}{2}$

Step-by-step explanation:

Let the third term (a3) be the first term (a1), since we adjusted, the sixth term (a6) will be the last term (an). The point of this is to find the common ratio (r) since we don't know it yet. Given the following values ...

$a_{1} = 144 \\ a_{4} = 486 \\ n = 4 \\ r = \: ?$

Using the Geometric Sequence Formula

$a_{n} = a_{1} {r}^{n - 1} \\ 486 = (144)( {r}^{4 - 1} )$

Divide both sides by 144 ...

${r}^{3} = \frac{27}{8} \\ r = \frac{3}{2}$

Now we know the common ratio which is 3/2, starting from sixth term (a6), continue the sequence ...

$a_{6} = 486 \\ a_{7} = 729 \\ a_{8} = \frac{2187}{2}$

The eight term (a8) is 2187/2

suzakucrono Ang ginawa ko po jan ay nag-adjust ako para mahanap yung common ratio

suzakucrono and then pag nahanap na, ituloy ang sequence hanggang sa eight term

neon330 hi ask ko lng po

suzakucrono yesss

neon330 where did you get 27/8 po

suzakucrono lowest term of 486/144

suzakucrono GCF is 18

neon330 ahhh ok po thanks po

suzakucrono no problem

Peresores thanks ..

lilia44

ANSWER:3/2

Step-by-step explanation:

486=144r^4-1

486=144r³

486/144=144r³/144

27/8=r³—(use cuberoot here)

√(27/8)=√(r³)

r=3/2

NOTES

Thank you ..

lilia44 welcome mare

lilia44 btw need nalang ng 1 na brainliest

lilia44 ko*

firevending123 opo kailangan ko pa ng isang mortal na makakatagot sa aking katanungan upang magawad ko ang iyong kahiligan

firevending123 MARAMING SALAMAT DAHIL NALAGPASAN MO ANG AKING PAGSUBOK KAYA MAAARI KA NANG MATULOG HUWAG KANG MAG AALALA IGAGAWAD KO SAIYO AKONG IYONG PREMYO MARAMING SALAMAT

lilia44 Haha bat me Nakagawa sa sinabe mo hahah

lilia44 natatawa not nakagawa*

firevending123 HUWANG MONG ITATAMA ANG AKING KAMALIAN MORTAL

firevending123 ABAT BAKA IYAN PA ANG MAGING DAHILAN NG PAGKAWALA IYONG PREMYO

lilia44 ayus ka lang?

Questions

Answers & Comments

ANSWER:3/2

Step-by-step explanation:

486=144r^4-1

486=144r³

486/144=144r³/144

27/8=r³—(use cuberoot here)

√(27/8)=√(r³)

r=3/2

NOTES

Thank you ..

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