Question

the third term of a G.P. is 10 .Then the product of first five terms is​

Answer 1

Answer:

let the GP is

a,ar,ar2,ar3,ar4

Given the third term of GP is 4

that means ar2=4

oroduct of first five term =a5xr10

=(ar2)5

=1024

Answer 2

Answer:

ᴀɴsᴡᴇʀ

ʟᴇᴛ ᴛʜᴇ ᴄᴏᴍᴍᴏɴ ʀᴀᴛɪᴏ ʙᴇ ʀ ᴀɴᴅ ᴛʜᴇ ᴛᴇʀᴍs ʙᴇ ᴀ,ᴀʀ,ᴀʀ

,ᴀʀ

,ᴀʀ

ᴀɴᴅ sᴏ ᴏɴ ɪɴ ɢ.ᴘ.

ᴀʟsᴏ, ɢɪᴠᴇɴ ᴛʜᴀᴛ ᴛʜᴇ ᴛʜɪʀᴅ ᴛᴇʀᴍ ɪs .

⇒ᴀʀ

= ...()

ᴛʜᴇʀᴇғᴏʀᴇ, ᴛʜᴇ ᴘʀᴏᴅᴜᴄᴛ ᴏғ ᴛʜᴇ ғɪʀsᴛ ғɪᴠᴇ ᴛᴇʀᴍ ɪs ɢɪᴠᴇɴ ʙʏ,

ᴀ⋅ᴀʀ⋅ᴀʀ

⋅ᴀʀ

⋅ᴀʀ

=ᴀ

ʀ

⇒ᴀ⋅ᴀʀ⋅ᴀʀ

⋅ᴀʀ

⋅ᴀʀ

=(ᴀʀ

)

ғʀᴏᴍ ᴇǫᴜᴀᴛɪᴏɴ (), sᴜʙsᴛɪᴛᴜᴛᴇ ᴀʀ

=; ᴡᴇ ɢᴇᴛ

ᴀ⋅ᴀʀ⋅ᴀʀ

⋅ᴀʀ

⋅ᴀʀ

=

ᴛʜᴜs, ᴛʜᴇ ᴘʀᴏᴅᴜᴄᴛ ᴏғ ᴛʜᴇ ғɪʀsᴛ ғɪᴠᴇ ᴛᴇʀᴍ ɪs

.

Step-by-step explanation:

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