Question

27) Which 2 terms are inserted between 5 and 40 so that the resulting sequence is G.P.​

Answer 1

Answer:

Therefore, 10 and 20 should be inserted. Please mark me as brainliest.

Step-by-step explanation:

G.P. is in the form of $a + ar + ar^{2} + ar^{3}$ ...

Given, a = 5 and $ar^{3}$ = 40

$\frac{ar^{3}}{a}$ = $r^{3}$

40/5 = 8

$r^{3} = 8\\\sqrt[3]{r^{3}} = \sqrt[3]{8}$

r = 2

So, ar = 5 x 2 = 10

$ar^{2}$ = 5 x $2^{2}$ = 5 x 4 = 20

Answer 2

Step-by-step explanation:

∴ 5, G1, G2, 40 are in G.P. ∴ For resulting sequence to be in G.P. we need to insert numbers 10 and 20. Concept: Geometric Progression (G. P.)