The Archer this is really very model specific. Your HP Flyer Red could be a HP 15-f272wm or a HP 15-R132wm. the general answer for now is that your system may support :
Memory 1 or 2 customer-accessible/upgradable memory module slots (depending on model)
2 slots: DDR3L-1600MHz Dual Channel Support (Core processors)
1 slot: DDR3-1333MHz Dual Channel Support (DDR3L-1600 downgraded to DDR3-1333)(Bay Trail
processors)
1 slot: DDR3-1333MHz Dual Channel Support (DDR3L-1600 downgraded to DDR3-1066)(Bay Trail
processors)
Supports dual-channel memory
Supports up to 16 GB of system RAM in the following configurations:
● 16384-MB total system memory (8192×2) or (4096×2) (not for 32-bit operating system or Windows
7 Home)
● 12288-MB total system memory (8192×1 + 4096×1) (not for 32-bit operating system or Windows 7
Home)
● 8192-MB total system memory (8192×1) or (4096×2) (not for 32-bit operating system)
● 6144-MB total system memory (4096×1 + 2048×1) (not for 32-bit operating system)
● 4096-MB total system memory (4096×1) or (2048×2)
● 2048-MB total system memory (2048×1)
Download the service manual [https://support.hp.com/us-en/product/hp-15-r100-notebook-pc-series/7234951/model/7605346/manuals|from here] to get to your RAM